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Finding the Fourth Proportional to 9,862.56, 14,801.10 and 4,669.56

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Solution

The fourth proportional to 9,862.56, 14,801.10 and 4,669.56 is: 7,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.56 : 14,801.10 = 4,669.56 : x
  2. Step 2: Convert to fraction form
    9,862.56/14,801.10 = 4,669.56/x
  3. Step 3: Cross multiply
    9,862.56x = 14,801.10 × 4,669.56
  4. Step 4: Simplify right side
    9,862.56x = 69,114,624.52
  5. Step 5: Solve for x
    x = 69,114,624.52/9,862.56
  6. Step 6: Final answer
    x = 7,007.78

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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.