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Finding the Fourth Proportional to 6,459.68, 8,915.28 and 4,672.96

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Solution

The fourth proportional to 6,459.68, 8,915.28 and 4,672.96 is: 6,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.68 : 8,915.28 = 4,672.96 : x
  2. Step 2: Convert to fraction form
    6,459.68/8,915.28 = 4,672.96/x
  3. Step 3: Cross multiply
    6,459.68x = 8,915.28 × 4,672.96
  4. Step 4: Simplify right side
    6,459.68x = 41,660,746.83
  5. Step 5: Solve for x
    x = 41,660,746.83/6,459.68
  6. Step 6: Final answer
    x = 6,449.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.