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Finding the Fourth Proportional to 9,964.88, 14,954.12 and 6,456.50

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Solution

The fourth proportional to 9,964.88, 14,954.12 and 6,456.50 is: 9,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.88 : 14,954.12 = 6,456.50 : x
  2. Step 2: Convert to fraction form
    9,964.88/14,954.12 = 6,456.50/x
  3. Step 3: Cross multiply
    9,964.88x = 14,954.12 × 6,456.50
  4. Step 4: Simplify right side
    9,964.88x = 96,551,275.78
  5. Step 5: Solve for x
    x = 96,551,275.78/9,964.88
  6. Step 6: Final answer
    x = 9,689.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.