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Finding the Fourth Proportional to 9,862.38, 14,800.86 and 3,626.25

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Solution

The fourth proportional to 9,862.38, 14,800.86 and 3,626.25 is: 5,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.38 : 14,800.86 = 3,626.25 : x
  2. Step 2: Convert to fraction form
    9,862.38/14,800.86 = 3,626.25/x
  3. Step 3: Cross multiply
    9,862.38x = 14,800.86 × 3,626.25
  4. Step 4: Simplify right side
    9,862.38x = 53,671,618.58
  5. Step 5: Solve for x
    x = 53,671,618.58/9,862.38
  6. Step 6: Final answer
    x = 5,442.06

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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.