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Finding the Fourth Proportional to 9,915.26, 14,864.18 and 6,407.96

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Solution

The fourth proportional to 9,915.26, 14,864.18 and 6,407.96 is: 9,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.26 : 14,864.18 = 6,407.96 : x
  2. Step 2: Convert to fraction form
    9,915.26/14,864.18 = 6,407.96/x
  3. Step 3: Cross multiply
    9,915.26x = 14,864.18 × 6,407.96
  4. Step 4: Simplify right side
    9,915.26x = 95,248,964.51
  5. Step 5: Solve for x
    x = 95,248,964.51/9,915.26
  6. Step 6: Final answer
    x = 9,606.31

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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.