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Finding the Fourth Proportional to 9,164.16, 12,646.79 and 4,972.41

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Solution

The fourth proportional to 9,164.16, 12,646.79 and 4,972.41 is: 6,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.16 : 12,646.79 = 4,972.41 : x
  2. Step 2: Convert to fraction form
    9,164.16/12,646.79 = 4,972.41/x
  3. Step 3: Cross multiply
    9,164.16x = 12,646.79 × 4,972.41
  4. Step 4: Simplify right side
    9,164.16x = 62,885,000.20
  5. Step 5: Solve for x
    x = 62,885,000.20/9,164.16
  6. Step 6: Final answer
    x = 6,862.06

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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.