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Finding the Fourth Proportional to 9,099.90, 12,556.98 and 5,120.64

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Solution

The fourth proportional to 9,099.90, 12,556.98 and 5,120.64 is: 7,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.90 : 12,556.98 = 5,120.64 : x
  2. Step 2: Convert to fraction form
    9,099.90/12,556.98 = 5,120.64/x
  3. Step 3: Cross multiply
    9,099.90x = 12,556.98 × 5,120.64
  4. Step 4: Simplify right side
    9,099.90x = 64,299,774.07
  5. Step 5: Solve for x
    x = 64,299,774.07/9,099.90
  6. Step 6: Final answer
    x = 7,065.99

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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.