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Finding the Fourth Proportional to 9,106.52, 12,567.90 and 5,329.46

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Solution

The fourth proportional to 9,106.52, 12,567.90 and 5,329.46 is: 7,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.52 : 12,567.90 = 5,329.46 : x
  2. Step 2: Convert to fraction form
    9,106.52/12,567.90 = 5,329.46/x
  3. Step 3: Cross multiply
    9,106.52x = 12,567.90 × 5,329.46
  4. Step 4: Simplify right side
    9,106.52x = 66,980,195.30
  5. Step 5: Solve for x
    x = 66,980,195.30/9,106.52
  6. Step 6: Final answer
    x = 7,355.19

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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.