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Finding the Fourth Proportional to 7,214.49, 9,955.98 and 4,070.66

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Solution

The fourth proportional to 7,214.49, 9,955.98 and 4,070.66 is: 5,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.49 : 9,955.98 = 4,070.66 : x
  2. Step 2: Convert to fraction form
    7,214.49/9,955.98 = 4,070.66/x
  3. Step 3: Cross multiply
    7,214.49x = 9,955.98 × 4,070.66
  4. Step 4: Simplify right side
    7,214.49x = 40,527,359.77
  5. Step 5: Solve for x
    x = 40,527,359.77/7,214.49
  6. Step 6: Final answer
    x = 5,617.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.