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Finding the Fourth Proportional to 9,198.30, 12,693.03 and 5,006.46

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Solution

The fourth proportional to 9,198.30, 12,693.03 and 5,006.46 is: 6,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.30 : 12,693.03 = 5,006.46 : x
  2. Step 2: Convert to fraction form
    9,198.30/12,693.03 = 5,006.46/x
  3. Step 3: Cross multiply
    9,198.30x = 12,693.03 × 5,006.46
  4. Step 4: Simplify right side
    9,198.30x = 63,547,146.97
  5. Step 5: Solve for x
    x = 63,547,146.97/9,198.30
  6. Step 6: Final answer
    x = 6,908.58

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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.