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Finding the Fourth Proportional to 9,240.85, 12,750.87 and 5,705.20

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Solution

The fourth proportional to 9,240.85, 12,750.87 and 5,705.20 is: 7,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.85 : 12,750.87 = 5,705.20 : x
  2. Step 2: Convert to fraction form
    9,240.85/12,750.87 = 5,705.20/x
  3. Step 3: Cross multiply
    9,240.85x = 12,750.87 × 5,705.20
  4. Step 4: Simplify right side
    9,240.85x = 72,746,263.52
  5. Step 5: Solve for x
    x = 72,746,263.52/9,240.85
  6. Step 6: Final answer
    x = 7,872.25

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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.