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Finding the Fourth Proportional to 10,330.14, 15,506.14 and 6,437.28

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Solution

The fourth proportional to 10,330.14, 15,506.14 and 6,437.28 is: 9,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.14 : 15,506.14 = 6,437.28 : x
  2. Step 2: Convert to fraction form
    10,330.14/15,506.14 = 6,437.28/x
  3. Step 3: Cross multiply
    10,330.14x = 15,506.14 × 6,437.28
  4. Step 4: Simplify right side
    10,330.14x = 99,817,364.90
  5. Step 5: Solve for x
    x = 99,817,364.90/10,330.14
  6. Step 6: Final answer
    x = 9,662.73

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