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Finding the Fourth Proportional to 9,618.57, 14,423.25 and 6,106.62

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Solution

The fourth proportional to 9,618.57, 14,423.25 and 6,106.62 is: 9,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.57 : 14,423.25 = 6,106.62 : x
  2. Step 2: Convert to fraction form
    9,618.57/14,423.25 = 6,106.62/x
  3. Step 3: Cross multiply
    9,618.57x = 14,423.25 × 6,106.62
  4. Step 4: Simplify right side
    9,618.57x = 88,077,306.92
  5. Step 5: Solve for x
    x = 88,077,306.92/9,618.57
  6. Step 6: Final answer
    x = 9,157.01

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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.