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Finding the Fourth Proportional to 9,671.52, 14,507.29 and 6,383.85

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Solution

The fourth proportional to 9,671.52, 14,507.29 and 6,383.85 is: 9,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.52 : 14,507.29 = 6,383.85 : x
  2. Step 2: Convert to fraction form
    9,671.52/14,507.29 = 6,383.85/x
  3. Step 3: Cross multiply
    9,671.52x = 14,507.29 × 6,383.85
  4. Step 4: Simplify right side
    9,671.52x = 92,612,301.34
  5. Step 5: Solve for x
    x = 92,612,301.34/9,671.52
  6. Step 6: Final answer
    x = 9,575.77

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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.