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Finding the Fourth Proportional to 9,796.87, 13,520.00 and 5,547.86

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Solution

The fourth proportional to 9,796.87, 13,520.00 and 5,547.86 is: 7,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.87 : 13,520.00 = 5,547.86 : x
  2. Step 2: Convert to fraction form
    9,796.87/13,520.00 = 5,547.86/x
  3. Step 3: Cross multiply
    9,796.87x = 13,520.00 × 5,547.86
  4. Step 4: Simplify right side
    9,796.87x = 75,007,032.96
  5. Step 5: Solve for x
    x = 75,007,032.96/9,796.87
  6. Step 6: Final answer
    x = 7,656.23

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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.