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Finding the Fourth Proportional to 9,755.90, 14,590.65 and 8,200.70

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Solution

The fourth proportional to 9,755.90, 14,590.65 and 8,200.70 is: 12,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.90 : 14,590.65 = 8,200.70 : x
  2. Step 2: Convert to fraction form
    9,755.90/14,590.65 = 8,200.70/x
  3. Step 3: Cross multiply
    9,755.90x = 14,590.65 × 8,200.70
  4. Step 4: Simplify right side
    9,755.90x = 119,653,543.46
  5. Step 5: Solve for x
    x = 119,653,543.46/9,755.90
  6. Step 6: Final answer
    x = 12,264.74

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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.