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Finding the Fourth Proportional to 9,875.01, 13,626.78 and 5,398.83

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Solution

The fourth proportional to 9,875.01, 13,626.78 and 5,398.83 is: 7,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.01 : 13,626.78 = 5,398.83 : x
  2. Step 2: Convert to fraction form
    9,875.01/13,626.78 = 5,398.83/x
  3. Step 3: Cross multiply
    9,875.01x = 13,626.78 × 5,398.83
  4. Step 4: Simplify right side
    9,875.01x = 73,568,668.67
  5. Step 5: Solve for x
    x = 73,568,668.67/9,875.01
  6. Step 6: Final answer
    x = 7,449.98

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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.