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Finding the Fourth Proportional to 9,782.80, 13,499.64 and 5,590.96

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Solution

The fourth proportional to 9,782.80, 13,499.64 and 5,590.96 is: 7,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.80 : 13,499.64 = 5,590.96 : x
  2. Step 2: Convert to fraction form
    9,782.80/13,499.64 = 5,590.96/x
  3. Step 3: Cross multiply
    9,782.80x = 13,499.64 × 5,590.96
  4. Step 4: Simplify right side
    9,782.80x = 75,475,947.25
  5. Step 5: Solve for x
    x = 75,475,947.25/9,782.80
  6. Step 6: Final answer
    x = 7,715.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.