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Finding the Fourth Proportional to 9,827.84, 13,565.26 and 6,000.86

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Solution

The fourth proportional to 9,827.84, 13,565.26 and 6,000.86 is: 8,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.84 : 13,565.26 = 6,000.86 : x
  2. Step 2: Convert to fraction form
    9,827.84/13,565.26 = 6,000.86/x
  3. Step 3: Cross multiply
    9,827.84x = 13,565.26 × 6,000.86
  4. Step 4: Simplify right side
    9,827.84x = 81,403,226.12
  5. Step 5: Solve for x
    x = 81,403,226.12/9,827.84
  6. Step 6: Final answer
    x = 8,282.92

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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.