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Finding the Fourth Proportional to 9,100.35, 12,557.16 and 5,120.69

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Solution

The fourth proportional to 9,100.35, 12,557.16 and 5,120.69 is: 7,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.35 : 12,557.16 = 5,120.69 : x
  2. Step 2: Convert to fraction form
    9,100.35/12,557.16 = 5,120.69/x
  3. Step 3: Cross multiply
    9,100.35x = 12,557.16 × 5,120.69
  4. Step 4: Simplify right side
    9,100.35x = 64,301,260.85
  5. Step 5: Solve for x
    x = 64,301,260.85/9,100.35
  6. Step 6: Final answer
    x = 7,065.80

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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.