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Finding the Fourth Proportional to 9,089.34, 12,543.07 and 5,110.46

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Solution

The fourth proportional to 9,089.34, 12,543.07 and 5,110.46 is: 7,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.34 : 12,543.07 = 5,110.46 : x
  2. Step 2: Convert to fraction form
    9,089.34/12,543.07 = 5,110.46/x
  3. Step 3: Cross multiply
    9,089.34x = 12,543.07 × 5,110.46
  4. Step 4: Simplify right side
    9,089.34x = 64,100,769.24
  5. Step 5: Solve for x
    x = 64,100,769.24/9,089.34
  6. Step 6: Final answer
    x = 7,052.30

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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.