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Finding the Fourth Proportional to 9,165.16, 12,648.15 and 4,973.40

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Solution

The fourth proportional to 9,165.16, 12,648.15 and 4,973.40 is: 6,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.16 : 12,648.15 = 4,973.40 : x
  2. Step 2: Convert to fraction form
    9,165.16/12,648.15 = 4,973.40/x
  3. Step 3: Cross multiply
    9,165.16x = 12,648.15 × 4,973.40
  4. Step 4: Simplify right side
    9,165.16x = 62,904,309.21
  5. Step 5: Solve for x
    x = 62,904,309.21/9,165.16
  6. Step 6: Final answer
    x = 6,863.42

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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.