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Finding the Fourth Proportional to 9,902.65, 14,854.11 and 3,328.88

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Solution

The fourth proportional to 9,902.65, 14,854.11 and 3,328.88 is: 4,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.65 : 14,854.11 = 3,328.88 : x
  2. Step 2: Convert to fraction form
    9,902.65/14,854.11 = 3,328.88/x
  3. Step 3: Cross multiply
    9,902.65x = 14,854.11 × 3,328.88
  4. Step 4: Simplify right side
    9,902.65x = 49,447,549.70
  5. Step 5: Solve for x
    x = 49,447,549.70/9,902.65
  6. Step 6: Final answer
    x = 4,993.37

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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.