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Finding the Fourth Proportional to 9,780.03, 14,674.14 and 4,232.34

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Solution

The fourth proportional to 9,780.03, 14,674.14 and 4,232.34 is: 6,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.03 : 14,674.14 = 4,232.34 : x
  2. Step 2: Convert to fraction form
    9,780.03/14,674.14 = 4,232.34/x
  3. Step 3: Cross multiply
    9,780.03x = 14,674.14 × 4,232.34
  4. Step 4: Simplify right side
    9,780.03x = 62,105,949.69
  5. Step 5: Solve for x
    x = 62,105,949.69/9,780.03
  6. Step 6: Final answer
    x = 6,350.28

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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.