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Finding the Fourth Proportional to 10,473.98, 14,444.16 and 6,882.62

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Solution

The fourth proportional to 10,473.98, 14,444.16 and 6,882.62 is: 9,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.98 : 14,444.16 = 6,882.62 : x
  2. Step 2: Convert to fraction form
    10,473.98/14,444.16 = 6,882.62/x
  3. Step 3: Cross multiply
    10,473.98x = 14,444.16 × 6,882.62
  4. Step 4: Simplify right side
    10,473.98x = 99,413,664.50
  5. Step 5: Solve for x
    x = 99,413,664.50/10,473.98
  6. Step 6: Final answer
    x = 9,491.49

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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.