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Finding the Fourth Proportional to 10,426.45, 14,393.16 and 6,654.61

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Solution

The fourth proportional to 10,426.45, 14,393.16 and 6,654.61 is: 9,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.45 : 14,393.16 = 6,654.61 : x
  2. Step 2: Convert to fraction form
    10,426.45/14,393.16 = 6,654.61/x
  3. Step 3: Cross multiply
    10,426.45x = 14,393.16 × 6,654.61
  4. Step 4: Simplify right side
    10,426.45x = 95,780,866.47
  5. Step 5: Solve for x
    x = 95,780,866.47/10,426.45
  6. Step 6: Final answer
    x = 9,186.34

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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.