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Finding the Fourth Proportional to 9,011.60, 12,431.70 and 5,652.74

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Solution

The fourth proportional to 9,011.60, 12,431.70 and 5,652.74 is: 7,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.60 : 12,431.70 = 5,652.74 : x
  2. Step 2: Convert to fraction form
    9,011.60/12,431.70 = 5,652.74/x
  3. Step 3: Cross multiply
    9,011.60x = 12,431.70 × 5,652.74
  4. Step 4: Simplify right side
    9,011.60x = 70,273,167.86
  5. Step 5: Solve for x
    x = 70,273,167.86/9,011.60
  6. Step 6: Final answer
    x = 7,798.08

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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.