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Finding the Fourth Proportional to 9,165.57, 12,648.43 and 4,973.82

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Solution

The fourth proportional to 9,165.57, 12,648.43 and 4,973.82 is: 6,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.57 : 12,648.43 = 4,973.82 : x
  2. Step 2: Convert to fraction form
    9,165.57/12,648.43 = 4,973.82/x
  3. Step 3: Cross multiply
    9,165.57x = 12,648.43 × 4,973.82
  4. Step 4: Simplify right side
    9,165.57x = 62,910,972.89
  5. Step 5: Solve for x
    x = 62,910,972.89/9,165.57
  6. Step 6: Final answer
    x = 6,863.84

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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.