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Finding the Fourth Proportional to 6,385.95, 9,573.54 and 3,052.32

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Solution

The fourth proportional to 6,385.95, 9,573.54 and 3,052.32 is: 4,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.95 : 9,573.54 = 3,052.32 : x
  2. Step 2: Convert to fraction form
    6,385.95/9,573.54 = 3,052.32/x
  3. Step 3: Cross multiply
    6,385.95x = 9,573.54 × 3,052.32
  4. Step 4: Simplify right side
    6,385.95x = 29,221,507.61
  5. Step 5: Solve for x
    x = 29,221,507.61/6,385.95
  6. Step 6: Final answer
    x = 4,575.91

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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.