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Finding the Fourth Proportional to 9,805.90, 14,708.85 and 3,232.30

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Solution

The fourth proportional to 9,805.90, 14,708.85 and 3,232.30 is: 4,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.90 : 14,708.85 = 3,232.30 : x
  2. Step 2: Convert to fraction form
    9,805.90/14,708.85 = 3,232.30/x
  3. Step 3: Cross multiply
    9,805.90x = 14,708.85 × 3,232.30
  4. Step 4: Simplify right side
    9,805.90x = 47,543,415.86
  5. Step 5: Solve for x
    x = 47,543,415.86/9,805.90
  6. Step 6: Final answer
    x = 4,848.45

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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.