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Finding the Fourth Proportional to 9,105.63, 12,565.75 and 5,126.76

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Solution

The fourth proportional to 9,105.63, 12,565.75 and 5,126.76 is: 7,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.63 : 12,565.75 = 5,126.76 : x
  2. Step 2: Convert to fraction form
    9,105.63/12,565.75 = 5,126.76/x
  3. Step 3: Cross multiply
    9,105.63x = 12,565.75 × 5,126.76
  4. Step 4: Simplify right side
    9,105.63x = 64,421,496.01
  5. Step 5: Solve for x
    x = 64,421,496.01/9,105.63
  6. Step 6: Final answer
    x = 7,074.91

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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.