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Finding the Fourth Proportional to 9,164.36, 12,646.92 and 4,972.64

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Solution

The fourth proportional to 9,164.36, 12,646.92 and 4,972.64 is: 6,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.36 : 12,646.92 = 4,972.64 : x
  2. Step 2: Convert to fraction form
    9,164.36/12,646.92 = 4,972.64/x
  3. Step 3: Cross multiply
    9,164.36x = 12,646.92 × 4,972.64
  4. Step 4: Simplify right side
    9,164.36x = 62,888,580.27
  5. Step 5: Solve for x
    x = 62,888,580.27/9,164.36
  6. Step 6: Final answer
    x = 6,862.30

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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.