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Finding the Fourth Proportional to 9,098.01, 12,556.13 and 5,697.43

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Solution

The fourth proportional to 9,098.01, 12,556.13 and 5,697.43 is: 7,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.01 : 12,556.13 = 5,697.43 : x
  2. Step 2: Convert to fraction form
    9,098.01/12,556.13 = 5,697.43/x
  3. Step 3: Cross multiply
    9,098.01x = 12,556.13 × 5,697.43
  4. Step 4: Simplify right side
    9,098.01x = 71,537,671.75
  5. Step 5: Solve for x
    x = 71,537,671.75/9,098.01
  6. Step 6: Final answer
    x = 7,863.00

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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.