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Finding the Fourth Proportional to 9,470.98, 13,069.02 and 5,493.16

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Solution

The fourth proportional to 9,470.98, 13,069.02 and 5,493.16 is: 7,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.98 : 13,069.02 = 5,493.16 : x
  2. Step 2: Convert to fraction form
    9,470.98/13,069.02 = 5,493.16/x
  3. Step 3: Cross multiply
    9,470.98x = 13,069.02 × 5,493.16
  4. Step 4: Simplify right side
    9,470.98x = 71,790,217.90
  5. Step 5: Solve for x
    x = 71,790,217.90/9,470.98
  6. Step 6: Final answer
    x = 7,580.02

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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.