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Finding the Fourth Proportional to 9,106.44, 12,567.14 and 5,569.56

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Solution

The fourth proportional to 9,106.44, 12,567.14 and 5,569.56 is: 7,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.44 : 12,567.14 = 5,569.56 : x
  2. Step 2: Convert to fraction form
    9,106.44/12,567.14 = 5,569.56/x
  3. Step 3: Cross multiply
    9,106.44x = 12,567.14 × 5,569.56
  4. Step 4: Simplify right side
    9,106.44x = 69,993,440.26
  5. Step 5: Solve for x
    x = 69,993,440.26/9,106.44
  6. Step 6: Final answer
    x = 7,686.15

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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.