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Finding the Fourth Proportional to 9,562.86, 13,191.42 and 8,886.32

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Solution

The fourth proportional to 9,562.86, 13,191.42 and 8,886.32 is: 12,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.86 : 13,191.42 = 8,886.32 : x
  2. Step 2: Convert to fraction form
    9,562.86/13,191.42 = 8,886.32/x
  3. Step 3: Cross multiply
    9,562.86x = 13,191.42 × 8,886.32
  4. Step 4: Simplify right side
    9,562.86x = 117,223,179.37
  5. Step 5: Solve for x
    x = 117,223,179.37/9,562.86
  6. Step 6: Final answer
    x = 12,258.17

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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.