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Finding the Fourth Proportional to 9,470.49, 13,069.02 and 5,491.35

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Solution

The fourth proportional to 9,470.49, 13,069.02 and 5,491.35 is: 7,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.49 : 13,069.02 = 5,491.35 : x
  2. Step 2: Convert to fraction form
    9,470.49/13,069.02 = 5,491.35/x
  3. Step 3: Cross multiply
    9,470.49x = 13,069.02 × 5,491.35
  4. Step 4: Simplify right side
    9,470.49x = 71,766,562.98
  5. Step 5: Solve for x
    x = 71,766,562.98/9,470.49
  6. Step 6: Final answer
    x = 7,577.91

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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.