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Finding the Fourth Proportional to 6,124.32, 9,182.16 and 2,659.68

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Solution

The fourth proportional to 6,124.32, 9,182.16 and 2,659.68 is: 3,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.32 : 9,182.16 = 2,659.68 : x
  2. Step 2: Convert to fraction form
    6,124.32/9,182.16 = 2,659.68/x
  3. Step 3: Cross multiply
    6,124.32x = 9,182.16 × 2,659.68
  4. Step 4: Simplify right side
    6,124.32x = 24,421,607.31
  5. Step 5: Solve for x
    x = 24,421,607.31/6,124.32
  6. Step 6: Final answer
    x = 3,987.64

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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.