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Finding the Fourth Proportional to 9,106.56, 12,566.48 and 5,127.44

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Solution

The fourth proportional to 9,106.56, 12,566.48 and 5,127.44 is: 7,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.56 : 12,566.48 = 5,127.44 : x
  2. Step 2: Convert to fraction form
    9,106.56/12,566.48 = 5,127.44/x
  3. Step 3: Cross multiply
    9,106.56x = 12,566.48 × 5,127.44
  4. Step 4: Simplify right side
    9,106.56x = 64,433,872.21
  5. Step 5: Solve for x
    x = 64,433,872.21/9,106.56
  6. Step 6: Final answer
    x = 7,075.54

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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.