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Finding the Fourth Proportional to 9,780.80, 14,665.80 and 4,233.20

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Solution

The fourth proportional to 9,780.80, 14,665.80 and 4,233.20 is: 6,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.80 : 14,665.80 = 4,233.20 : x
  2. Step 2: Convert to fraction form
    9,780.80/14,665.80 = 4,233.20/x
  3. Step 3: Cross multiply
    9,780.80x = 14,665.80 × 4,233.20
  4. Step 4: Simplify right side
    9,780.80x = 62,083,264.56
  5. Step 5: Solve for x
    x = 62,083,264.56/9,780.80
  6. Step 6: Final answer
    x = 6,347.46

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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.