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Finding the Fourth Proportional to 9,972.56, 13,762.16 and 5,496.60

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Solution

The fourth proportional to 9,972.56, 13,762.16 and 5,496.60 is: 7,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.56 : 13,762.16 = 5,496.60 : x
  2. Step 2: Convert to fraction form
    9,972.56/13,762.16 = 5,496.60/x
  3. Step 3: Cross multiply
    9,972.56x = 13,762.16 × 5,496.60
  4. Step 4: Simplify right side
    9,972.56x = 75,645,088.66
  5. Step 5: Solve for x
    x = 75,645,088.66/9,972.56
  6. Step 6: Final answer
    x = 7,585.32

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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.