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Finding the Fourth Proportional to 6,575.68, 9,077.16 and 4,894.12

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Solution

The fourth proportional to 6,575.68, 9,077.16 and 4,894.12 is: 6,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.68 : 9,077.16 = 4,894.12 : x
  2. Step 2: Convert to fraction form
    6,575.68/9,077.16 = 4,894.12/x
  3. Step 3: Cross multiply
    6,575.68x = 9,077.16 × 4,894.12
  4. Step 4: Simplify right side
    6,575.68x = 44,424,710.30
  5. Step 5: Solve for x
    x = 44,424,710.30/6,575.68
  6. Step 6: Final answer
    x = 6,755.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.