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Finding the Fourth Proportional to 9,567.41, 13,202.62 and 5,318.46

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Solution

The fourth proportional to 9,567.41, 13,202.62 and 5,318.46 is: 7,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.41 : 13,202.62 = 5,318.46 : x
  2. Step 2: Convert to fraction form
    9,567.41/13,202.62 = 5,318.46/x
  3. Step 3: Cross multiply
    9,567.41x = 13,202.62 × 5,318.46
  4. Step 4: Simplify right side
    9,567.41x = 70,217,612.78
  5. Step 5: Solve for x
    x = 70,217,612.78/9,567.41
  6. Step 6: Final answer
    x = 7,339.25

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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.