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Finding the Fourth Proportional to 9,580.17, 14,357.80 and 5,363.25

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Solution

The fourth proportional to 9,580.17, 14,357.80 and 5,363.25 is: 8,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.17 : 14,357.80 = 5,363.25 : x
  2. Step 2: Convert to fraction form
    9,580.17/14,357.80 = 5,363.25/x
  3. Step 3: Cross multiply
    9,580.17x = 14,357.80 × 5,363.25
  4. Step 4: Simplify right side
    9,580.17x = 77,004,470.85
  5. Step 5: Solve for x
    x = 77,004,470.85/9,580.17
  6. Step 6: Final answer
    x = 8,037.90

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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.