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Finding the Fourth Proportional to 9,090.56, 13,612.80 and 5,617.28

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Solution

The fourth proportional to 9,090.56, 13,612.80 and 5,617.28 is: 8,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.56 : 13,612.80 = 5,617.28 : x
  2. Step 2: Convert to fraction form
    9,090.56/13,612.80 = 5,617.28/x
  3. Step 3: Cross multiply
    9,090.56x = 13,612.80 × 5,617.28
  4. Step 4: Simplify right side
    9,090.56x = 76,466,909.18
  5. Step 5: Solve for x
    x = 76,466,909.18/9,090.56
  6. Step 6: Final answer
    x = 8,411.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.