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Finding the Fourth Proportional to 9,878.96, 13,632.99 and 6,101.26

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Solution

The fourth proportional to 9,878.96, 13,632.99 and 6,101.26 is: 8,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.96 : 13,632.99 = 6,101.26 : x
  2. Step 2: Convert to fraction form
    9,878.96/13,632.99 = 6,101.26/x
  3. Step 3: Cross multiply
    9,878.96x = 13,632.99 × 6,101.26
  4. Step 4: Simplify right side
    9,878.96x = 83,178,393.92
  5. Step 5: Solve for x
    x = 83,178,393.92/9,878.96
  6. Step 6: Final answer
    x = 8,419.75

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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.