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Finding the Fourth Proportional to 9,491,894.82, 14,239,957.14 and 5,229,869.22

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Solution

The fourth proportional to 9,491,894.82, 14,239,957.14 and 5,229,869.22 is: 7,845,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491,894.82 : 14,239,957.14 = 5,229,869.22 : x
  2. Step 2: Convert to fraction form
    9,491,894.82/14,239,957.14 = 5,229,869.22/x
  3. Step 3: Cross multiply
    9,491,894.82x = 14,239,957.14 × 5,229,869.22
  4. Step 4: Simplify right side
    9,491,894.82x = 74,473,113,540,605.23
  5. Step 5: Solve for x
    x = 74,473,113,540,605.23/9,491,894.82
  6. Step 6: Final answer
    x = 7,845,969.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.