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Finding the Fourth Proportional to 9,953.76, 14,934.23 and 5,019.68

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Solution

The fourth proportional to 9,953.76, 14,934.23 and 5,019.68 is: 7,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.76 : 14,934.23 = 5,019.68 : x
  2. Step 2: Convert to fraction form
    9,953.76/14,934.23 = 5,019.68/x
  3. Step 3: Cross multiply
    9,953.76x = 14,934.23 × 5,019.68
  4. Step 4: Simplify right side
    9,953.76x = 74,964,955.88
  5. Step 5: Solve for x
    x = 74,964,955.88/9,953.76
  6. Step 6: Final answer
    x = 7,531.32

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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.