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Finding the Fourth Proportional to 9,240.42, 12,752.46 and 5,702.34

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Solution

The fourth proportional to 9,240.42, 12,752.46 and 5,702.34 is: 7,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.42 : 12,752.46 = 5,702.34 : x
  2. Step 2: Convert to fraction form
    9,240.42/12,752.46 = 5,702.34/x
  3. Step 3: Cross multiply
    9,240.42x = 12,752.46 × 5,702.34
  4. Step 4: Simplify right side
    9,240.42x = 72,718,862.76
  5. Step 5: Solve for x
    x = 72,718,862.76/9,240.42
  6. Step 6: Final answer
    x = 7,869.65

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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.