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Finding the Fourth Proportional to 9,125.85, 13,686.68 and 2,552.50

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Solution

The fourth proportional to 9,125.85, 13,686.68 and 2,552.50 is: 3,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.85 : 13,686.68 = 2,552.50 : x
  2. Step 2: Convert to fraction form
    9,125.85/13,686.68 = 2,552.50/x
  3. Step 3: Cross multiply
    9,125.85x = 13,686.68 × 2,552.50
  4. Step 4: Simplify right side
    9,125.85x = 34,935,169.50
  5. Step 5: Solve for x
    x = 34,935,169.50/9,125.85
  6. Step 6: Final answer
    x = 3,828.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.