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Finding the Fourth Proportional to 9,091.59, 12,538.06 and 5,901.58

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Solution

The fourth proportional to 9,091.59, 12,538.06 and 5,901.58 is: 8,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.59 : 12,538.06 = 5,901.58 : x
  2. Step 2: Convert to fraction form
    9,091.59/12,538.06 = 5,901.58/x
  3. Step 3: Cross multiply
    9,091.59x = 12,538.06 × 5,901.58
  4. Step 4: Simplify right side
    9,091.59x = 73,994,364.13
  5. Step 5: Solve for x
    x = 73,994,364.13/9,091.59
  6. Step 6: Final answer
    x = 8,138.77

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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.