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Finding the Fourth Proportional to 9,164.58, 12,647.13 and 4,972.83

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Solution

The fourth proportional to 9,164.58, 12,647.13 and 4,972.83 is: 6,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.58 : 12,647.13 = 4,972.83 : x
  2. Step 2: Convert to fraction form
    9,164.58/12,647.13 = 4,972.83/x
  3. Step 3: Cross multiply
    9,164.58x = 12,647.13 × 4,972.83
  4. Step 4: Simplify right side
    9,164.58x = 62,891,985.12
  5. Step 5: Solve for x
    x = 62,891,985.12/9,164.58
  6. Step 6: Final answer
    x = 6,862.51

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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.