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Finding the Fourth Proportional to 10,463.13, 14,434.04 and 6,929.30

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Solution

The fourth proportional to 10,463.13, 14,434.04 and 6,929.30 is: 9,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.13 : 14,434.04 = 6,929.30 : x
  2. Step 2: Convert to fraction form
    10,463.13/14,434.04 = 6,929.30/x
  3. Step 3: Cross multiply
    10,463.13x = 14,434.04 × 6,929.30
  4. Step 4: Simplify right side
    10,463.13x = 100,017,686.56
  5. Step 5: Solve for x
    x = 100,017,686.56/10,463.13
  6. Step 6: Final answer
    x = 9,559.06

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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.