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Finding the Fourth Proportional to 9,662.40, 13,331.52 and 5,470.56

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Solution

The fourth proportional to 9,662.40, 13,331.52 and 5,470.56 is: 7,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.40 : 13,331.52 = 5,470.56 : x
  2. Step 2: Convert to fraction form
    9,662.40/13,331.52 = 5,470.56/x
  3. Step 3: Cross multiply
    9,662.40x = 13,331.52 × 5,470.56
  4. Step 4: Simplify right side
    9,662.40x = 72,930,880.05
  5. Step 5: Solve for x
    x = 72,930,880.05/9,662.40
  6. Step 6: Final answer
    x = 7,547.91

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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.