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Finding the Fourth Proportional to 9,567.62, 14,330.61 and 5,858.60

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Solution

The fourth proportional to 9,567.62, 14,330.61 and 5,858.60 is: 8,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.62 : 14,330.61 = 5,858.60 : x
  2. Step 2: Convert to fraction form
    9,567.62/14,330.61 = 5,858.60/x
  3. Step 3: Cross multiply
    9,567.62x = 14,330.61 × 5,858.60
  4. Step 4: Simplify right side
    9,567.62x = 83,957,311.75
  5. Step 5: Solve for x
    x = 83,957,311.75/9,567.62
  6. Step 6: Final answer
    x = 8,775.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.