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Finding the Fourth Proportional to 9,821.20, 14,702.86 and 6,483.30

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Solution

The fourth proportional to 9,821.20, 14,702.86 and 6,483.30 is: 9,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.20 : 14,702.86 = 6,483.30 : x
  2. Step 2: Convert to fraction form
    9,821.20/14,702.86 = 6,483.30/x
  3. Step 3: Cross multiply
    9,821.20x = 14,702.86 × 6,483.30
  4. Step 4: Simplify right side
    9,821.20x = 95,323,052.24
  5. Step 5: Solve for x
    x = 95,323,052.24/9,821.20
  6. Step 6: Final answer
    x = 9,705.85

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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.