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Finding the Fourth Proportional to 6,577.32, 9,864.54 and 4,630.44

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Solution

The fourth proportional to 6,577.32, 9,864.54 and 4,630.44 is: 6,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.32 : 9,864.54 = 4,630.44 : x
  2. Step 2: Convert to fraction form
    6,577.32/9,864.54 = 4,630.44/x
  3. Step 3: Cross multiply
    6,577.32x = 9,864.54 × 4,630.44
  4. Step 4: Simplify right side
    6,577.32x = 45,677,160.60
  5. Step 5: Solve for x
    x = 45,677,160.60/6,577.32
  6. Step 6: Final answer
    x = 6,944.65

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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.