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Finding the Fourth Proportional to 9,659.86, 14,479.98 and 3,735.16

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Solution

The fourth proportional to 9,659.86, 14,479.98 and 3,735.16 is: 5,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.86 : 14,479.98 = 3,735.16 : x
  2. Step 2: Convert to fraction form
    9,659.86/14,479.98 = 3,735.16/x
  3. Step 3: Cross multiply
    9,659.86x = 14,479.98 × 3,735.16
  4. Step 4: Simplify right side
    9,659.86x = 54,085,042.10
  5. Step 5: Solve for x
    x = 54,085,042.10/9,659.86
  6. Step 6: Final answer
    x = 5,598.95

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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.