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Finding the Fourth Proportional to 9,106.70, 12,567.24 and 5,127.84

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Solution

The fourth proportional to 9,106.70, 12,567.24 and 5,127.84 is: 7,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.70 : 12,567.24 = 5,127.84 : x
  2. Step 2: Convert to fraction form
    9,106.70/12,567.24 = 5,127.84/x
  3. Step 3: Cross multiply
    9,106.70x = 12,567.24 × 5,127.84
  4. Step 4: Simplify right side
    9,106.70x = 64,442,795.96
  5. Step 5: Solve for x
    x = 64,442,795.96/9,106.70
  6. Step 6: Final answer
    x = 7,076.42

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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.