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Finding the Fourth Proportional to 6,561.12, 9,858 and 5,823.84

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Solution

The fourth proportional to 6,561.12, 9,858 and 5,823.84 is: 8,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.12 : 9,858 = 5,823.84 : x
  2. Step 2: Convert to fraction form
    6,561.12/9,858 = 5,823.84/x
  3. Step 3: Cross multiply
    6,561.12x = 9,858 × 5,823.84
  4. Step 4: Simplify right side
    6,561.12x = 57,411,414.72
  5. Step 5: Solve for x
    x = 57,411,414.72/6,561.12
  6. Step 6: Final answer
    x = 8,750.25

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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.