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Finding the Fourth Proportional to 9,084.85, 12,537.15 and 5,256.40

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Solution

The fourth proportional to 9,084.85, 12,537.15 and 5,256.40 is: 7,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.85 : 12,537.15 = 5,256.40 : x
  2. Step 2: Convert to fraction form
    9,084.85/12,537.15 = 5,256.40/x
  3. Step 3: Cross multiply
    9,084.85x = 12,537.15 × 5,256.40
  4. Step 4: Simplify right side
    9,084.85x = 65,900,307.28
  5. Step 5: Solve for x
    x = 65,900,307.28/9,084.85
  6. Step 6: Final answer
    x = 7,253.87

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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.