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Finding the Fourth Proportional to 9,449.53, 13,041.10 and 5,470.71

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Solution

The fourth proportional to 9,449.53, 13,041.10 and 5,470.71 is: 7,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.53 : 13,041.10 = 5,470.71 : x
  2. Step 2: Convert to fraction form
    9,449.53/13,041.10 = 5,470.71/x
  3. Step 3: Cross multiply
    9,449.53x = 13,041.10 × 5,470.71
  4. Step 4: Simplify right side
    9,449.53x = 71,344,034.12
  5. Step 5: Solve for x
    x = 71,344,034.12/9,449.53
  6. Step 6: Final answer
    x = 7,550.01

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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.