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Finding the Fourth Proportional to 6,305.90, 9,458.06 and 2,607.66

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Solution

The fourth proportional to 6,305.90, 9,458.06 and 2,607.66 is: 3,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.90 : 9,458.06 = 2,607.66 : x
  2. Step 2: Convert to fraction form
    6,305.90/9,458.06 = 2,607.66/x
  3. Step 3: Cross multiply
    6,305.90x = 9,458.06 × 2,607.66
  4. Step 4: Simplify right side
    6,305.90x = 24,663,391.70
  5. Step 5: Solve for x
    x = 24,663,391.70/6,305.90
  6. Step 6: Final answer
    x = 3,911.16

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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.