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Finding the Fourth Proportional to 9,290.35, 12,820.04 and 5,098.87

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Solution

The fourth proportional to 9,290.35, 12,820.04 and 5,098.87 is: 7,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.35 : 12,820.04 = 5,098.87 : x
  2. Step 2: Convert to fraction form
    9,290.35/12,820.04 = 5,098.87/x
  3. Step 3: Cross multiply
    9,290.35x = 12,820.04 × 5,098.87
  4. Step 4: Simplify right side
    9,290.35x = 65,367,717.35
  5. Step 5: Solve for x
    x = 65,367,717.35/9,290.35
  6. Step 6: Final answer
    x = 7,036.09

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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.