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Finding the Fourth Proportional to 10,589.40, 14,641.20 and 9,277.20

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Solution

The fourth proportional to 10,589.40, 14,641.20 and 9,277.20 is: 12,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.40 : 14,641.20 = 9,277.20 : x
  2. Step 2: Convert to fraction form
    10,589.40/14,641.20 = 9,277.20/x
  3. Step 3: Cross multiply
    10,589.40x = 14,641.20 × 9,277.20
  4. Step 4: Simplify right side
    10,589.40x = 135,829,340.64
  5. Step 5: Solve for x
    x = 135,829,340.64/10,589.40
  6. Step 6: Final answer
    x = 12,826.92

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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.