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Finding the Fourth Proportional to 9,264.85, 12,699.72 and 9,140.24

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Solution

The fourth proportional to 9,264.85, 12,699.72 and 9,140.24 is: 12,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.85 : 12,699.72 = 9,140.24 : x
  2. Step 2: Convert to fraction form
    9,264.85/12,699.72 = 9,140.24/x
  3. Step 3: Cross multiply
    9,264.85x = 12,699.72 × 9,140.24
  4. Step 4: Simplify right side
    9,264.85x = 116,078,520.48
  5. Step 5: Solve for x
    x = 116,078,520.48/9,264.85
  6. Step 6: Final answer
    x = 12,528.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.