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Finding the Fourth Proportional to 9,657.98, 14,488.19 and 3,416.53

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Solution

The fourth proportional to 9,657.98, 14,488.19 and 3,416.53 is: 5,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.98 : 14,488.19 = 3,416.53 : x
  2. Step 2: Convert to fraction form
    9,657.98/14,488.19 = 3,416.53/x
  3. Step 3: Cross multiply
    9,657.98x = 14,488.19 × 3,416.53
  4. Step 4: Simplify right side
    9,657.98x = 49,499,246.26
  5. Step 5: Solve for x
    x = 49,499,246.26/9,657.98
  6. Step 6: Final answer
    x = 5,125.22

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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.