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Finding the Fourth Proportional to 9,883.86, 13,636.35 and 6,103.08

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Solution

The fourth proportional to 9,883.86, 13,636.35 and 6,103.08 is: 8,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.86 : 13,636.35 = 6,103.08 : x
  2. Step 2: Convert to fraction form
    9,883.86/13,636.35 = 6,103.08/x
  3. Step 3: Cross multiply
    9,883.86x = 13,636.35 × 6,103.08
  4. Step 4: Simplify right side
    9,883.86x = 83,223,734.96
  5. Step 5: Solve for x
    x = 83,223,734.96/9,883.86
  6. Step 6: Final answer
    x = 8,420.17

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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.