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Finding the Fourth Proportional to 9,825.54, 13,557.14 and 5,845.87

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Solution

The fourth proportional to 9,825.54, 13,557.14 and 5,845.87 is: 8,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.54 : 13,557.14 = 5,845.87 : x
  2. Step 2: Convert to fraction form
    9,825.54/13,557.14 = 5,845.87/x
  3. Step 3: Cross multiply
    9,825.54x = 13,557.14 × 5,845.87
  4. Step 4: Simplify right side
    9,825.54x = 79,253,248.78
  5. Step 5: Solve for x
    x = 79,253,248.78/9,825.54
  6. Step 6: Final answer
    x = 8,066.05

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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.