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Finding the Fourth Proportional to 9,470.16, 13,068.63 and 5,491.17

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Solution

The fourth proportional to 9,470.16, 13,068.63 and 5,491.17 is: 7,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.16 : 13,068.63 = 5,491.17 : x
  2. Step 2: Convert to fraction form
    9,470.16/13,068.63 = 5,491.17/x
  3. Step 3: Cross multiply
    9,470.16x = 13,068.63 × 5,491.17
  4. Step 4: Simplify right side
    9,470.16x = 71,762,069.00
  5. Step 5: Solve for x
    x = 71,762,069.00/9,470.16
  6. Step 6: Final answer
    x = 7,577.70

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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.