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Finding the Fourth Proportional to 9,985.61, 14,964.05 and 6,869.14

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Solution

The fourth proportional to 9,985.61, 14,964.05 and 6,869.14 is: 10,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.61 : 14,964.05 = 6,869.14 : x
  2. Step 2: Convert to fraction form
    9,985.61/14,964.05 = 6,869.14/x
  3. Step 3: Cross multiply
    9,985.61x = 14,964.05 × 6,869.14
  4. Step 4: Simplify right side
    9,985.61x = 102,790,134.18
  5. Step 5: Solve for x
    x = 102,790,134.18/9,985.61
  6. Step 6: Final answer
    x = 10,293.82

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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.