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Finding the Fourth Proportional to 9,657.62, 14,487.58 and 3,416.36

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Solution

The fourth proportional to 9,657.62, 14,487.58 and 3,416.36 is: 5,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.62 : 14,487.58 = 3,416.36 : x
  2. Step 2: Convert to fraction form
    9,657.62/14,487.58 = 3,416.36/x
  3. Step 3: Cross multiply
    9,657.62x = 14,487.58 × 3,416.36
  4. Step 4: Simplify right side
    9,657.62x = 49,494,788.81
  5. Step 5: Solve for x
    x = 49,494,788.81/9,657.62
  6. Step 6: Final answer
    x = 5,124.95

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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.