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Finding the Fourth Proportional to 9,036.13, 12,469.47 and 4,947.91

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Solution

The fourth proportional to 9,036.13, 12,469.47 and 4,947.91 is: 6,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.13 : 12,469.47 = 4,947.91 : x
  2. Step 2: Convert to fraction form
    9,036.13/12,469.47 = 4,947.91/x
  3. Step 3: Cross multiply
    9,036.13x = 12,469.47 × 4,947.91
  4. Step 4: Simplify right side
    9,036.13x = 61,697,815.31
  5. Step 5: Solve for x
    x = 61,697,815.31/9,036.13
  6. Step 6: Final answer
    x = 6,827.90

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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.