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Finding the Fourth Proportional to 9,877.22, 13,639.42 and 9,188.31

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Solution

The fourth proportional to 9,877.22, 13,639.42 and 9,188.31 is: 12,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.22 : 13,639.42 = 9,188.31 : x
  2. Step 2: Convert to fraction form
    9,877.22/13,639.42 = 9,188.31/x
  3. Step 3: Cross multiply
    9,877.22x = 13,639.42 × 9,188.31
  4. Step 4: Simplify right side
    9,877.22x = 125,323,219.18
  5. Step 5: Solve for x
    x = 125,323,219.18/9,877.22
  6. Step 6: Final answer
    x = 12,688.11

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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.