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Finding the Fourth Proportional to 9,291.06, 12,833.10 and 6,943.68

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Solution

The fourth proportional to 9,291.06, 12,833.10 and 6,943.68 is: 9,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.06 : 12,833.10 = 6,943.68 : x
  2. Step 2: Convert to fraction form
    9,291.06/12,833.10 = 6,943.68/x
  3. Step 3: Cross multiply
    9,291.06x = 12,833.10 × 6,943.68
  4. Step 4: Simplify right side
    9,291.06x = 89,108,939.81
  5. Step 5: Solve for x
    x = 89,108,939.81/9,291.06
  6. Step 6: Final answer
    x = 9,590.83

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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.