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Finding the Fourth Proportional to 8,968.50, 12,367.17 and 5,430.42

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Solution

The fourth proportional to 8,968.50, 12,367.17 and 5,430.42 is: 7,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.50 : 12,367.17 = 5,430.42 : x
  2. Step 2: Convert to fraction form
    8,968.50/12,367.17 = 5,430.42/x
  3. Step 3: Cross multiply
    8,968.50x = 12,367.17 × 5,430.42
  4. Step 4: Simplify right side
    8,968.50x = 67,158,927.31
  5. Step 5: Solve for x
    x = 67,158,927.31/8,968.50
  6. Step 6: Final answer
    x = 7,488.31

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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.