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Finding the Fourth Proportional to 9,564.54, 13,199.19 and 5,787.66

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Solution

The fourth proportional to 9,564.54, 13,199.19 and 5,787.66 is: 7,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.54 : 13,199.19 = 5,787.66 : x
  2. Step 2: Convert to fraction form
    9,564.54/13,199.19 = 5,787.66/x
  3. Step 3: Cross multiply
    9,564.54x = 13,199.19 × 5,787.66
  4. Step 4: Simplify right side
    9,564.54x = 76,392,424.00
  5. Step 5: Solve for x
    x = 76,392,424.00/9,564.54
  6. Step 6: Final answer
    x = 7,987.05

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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.