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Finding the Fourth Proportional to 9,470.88, 13,061.52 and 6,814.08

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Solution

The fourth proportional to 9,470.88, 13,061.52 and 6,814.08 is: 9,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.88 : 13,061.52 = 6,814.08 : x
  2. Step 2: Convert to fraction form
    9,470.88/13,061.52 = 6,814.08/x
  3. Step 3: Cross multiply
    9,470.88x = 13,061.52 × 6,814.08
  4. Step 4: Simplify right side
    9,470.88x = 89,002,242.20
  5. Step 5: Solve for x
    x = 89,002,242.20/9,470.88
  6. Step 6: Final answer
    x = 9,397.46

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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.