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Finding the Fourth Proportional to 6,174.64, 9,265.58 and 2,281.76

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Solution

The fourth proportional to 6,174.64, 9,265.58 and 2,281.76 is: 3,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.64 : 9,265.58 = 2,281.76 : x
  2. Step 2: Convert to fraction form
    6,174.64/9,265.58 = 2,281.76/x
  3. Step 3: Cross multiply
    6,174.64x = 9,265.58 × 2,281.76
  4. Step 4: Simplify right side
    6,174.64x = 21,141,829.82
  5. Step 5: Solve for x
    x = 21,141,829.82/6,174.64
  6. Step 6: Final answer
    x = 3,423.98

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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.