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Finding the Fourth Proportional to 9,105.54, 12,566.03 and 5,126.91

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Solution

The fourth proportional to 9,105.54, 12,566.03 and 5,126.91 is: 7,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.54 : 12,566.03 = 5,126.91 : x
  2. Step 2: Convert to fraction form
    9,105.54/12,566.03 = 5,126.91/x
  3. Step 3: Cross multiply
    9,105.54x = 12,566.03 × 5,126.91
  4. Step 4: Simplify right side
    9,105.54x = 64,424,904.87
  5. Step 5: Solve for x
    x = 64,424,904.87/9,105.54
  6. Step 6: Final answer
    x = 7,075.35

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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.