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Finding the Fourth Proportional to 9,772.48, 13,485.28 and 5,580.16

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Solution

The fourth proportional to 9,772.48, 13,485.28 and 5,580.16 is: 7,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.48 : 13,485.28 = 5,580.16 : x
  2. Step 2: Convert to fraction form
    9,772.48/13,485.28 = 5,580.16/x
  3. Step 3: Cross multiply
    9,772.48x = 13,485.28 × 5,580.16
  4. Step 4: Simplify right side
    9,772.48x = 75,250,020.04
  5. Step 5: Solve for x
    x = 75,250,020.04/9,772.48
  6. Step 6: Final answer
    x = 7,700.20

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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.