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Finding the Fourth Proportional to 9,781.08, 13,502.10 and 6,004.86

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Solution

The fourth proportional to 9,781.08, 13,502.10 and 6,004.86 is: 8,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.08 : 13,502.10 = 6,004.86 : x
  2. Step 2: Convert to fraction form
    9,781.08/13,502.10 = 6,004.86/x
  3. Step 3: Cross multiply
    9,781.08x = 13,502.10 × 6,004.86
  4. Step 4: Simplify right side
    9,781.08x = 81,078,220.21
  5. Step 5: Solve for x
    x = 81,078,220.21/9,781.08
  6. Step 6: Final answer
    x = 8,289.29

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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.