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Finding the Fourth Proportional to 9,657.68, 14,488.64 and 4,115.78

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Solution

The fourth proportional to 9,657.68, 14,488.64 and 4,115.78 is: 6,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.68 : 14,488.64 = 4,115.78 : x
  2. Step 2: Convert to fraction form
    9,657.68/14,488.64 = 4,115.78/x
  3. Step 3: Cross multiply
    9,657.68x = 14,488.64 × 4,115.78
  4. Step 4: Simplify right side
    9,657.68x = 59,632,054.74
  5. Step 5: Solve for x
    x = 59,632,054.74/9,657.68
  6. Step 6: Final answer
    x = 6,174.57

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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.