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Finding the Fourth Proportional to 9,098.92, 12,556.74 and 5,564.08

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Solution

The fourth proportional to 9,098.92, 12,556.74 and 5,564.08 is: 7,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.92 : 12,556.74 = 5,564.08 : x
  2. Step 2: Convert to fraction form
    9,098.92/12,556.74 = 5,564.08/x
  3. Step 3: Cross multiply
    9,098.92x = 12,556.74 × 5,564.08
  4. Step 4: Simplify right side
    9,098.92x = 69,866,705.90
  5. Step 5: Solve for x
    x = 69,866,705.90/9,098.92
  6. Step 6: Final answer
    x = 7,678.57

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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.