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Finding the Fourth Proportional to 9,652.32, 14,480.40 and 4,105.62

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Solution

The fourth proportional to 9,652.32, 14,480.40 and 4,105.62 is: 6,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.32 : 14,480.40 = 4,105.62 : x
  2. Step 2: Convert to fraction form
    9,652.32/14,480.40 = 4,105.62/x
  3. Step 3: Cross multiply
    9,652.32x = 14,480.40 × 4,105.62
  4. Step 4: Simplify right side
    9,652.32x = 59,451,019.85
  5. Step 5: Solve for x
    x = 59,451,019.85/9,652.32
  6. Step 6: Final answer
    x = 6,159.25

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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.