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Finding the Fourth Proportional to 8,649.18, 12,980.12 and 6,433.02

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Solution

The fourth proportional to 8,649.18, 12,980.12 and 6,433.02 is: 9,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.18 : 12,980.12 = 6,433.02 : x
  2. Step 2: Convert to fraction form
    8,649.18/12,980.12 = 6,433.02/x
  3. Step 3: Cross multiply
    8,649.18x = 12,980.12 × 6,433.02
  4. Step 4: Simplify right side
    8,649.18x = 83,501,339.40
  5. Step 5: Solve for x
    x = 83,501,339.40/8,649.18
  6. Step 6: Final answer
    x = 9,654.25

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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.