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Finding the Fourth Proportional to 9,233.70, 12,748.60 and 5,702.10

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Solution

The fourth proportional to 9,233.70, 12,748.60 and 5,702.10 is: 7,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.70 : 12,748.60 = 5,702.10 : x
  2. Step 2: Convert to fraction form
    9,233.70/12,748.60 = 5,702.10/x
  3. Step 3: Cross multiply
    9,233.70x = 12,748.60 × 5,702.10
  4. Step 4: Simplify right side
    9,233.70x = 72,693,792.06
  5. Step 5: Solve for x
    x = 72,693,792.06/9,233.70
  6. Step 6: Final answer
    x = 7,872.66

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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.