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Finding the Fourth Proportional to 9,083.65, 12,535.55 and 5,498.56

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Solution

The fourth proportional to 9,083.65, 12,535.55 and 5,498.56 is: 7,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.65 : 12,535.55 = 5,498.56 : x
  2. Step 2: Convert to fraction form
    9,083.65/12,535.55 = 5,498.56/x
  3. Step 3: Cross multiply
    9,083.65x = 12,535.55 × 5,498.56
  4. Step 4: Simplify right side
    9,083.65x = 68,927,473.81
  5. Step 5: Solve for x
    x = 68,927,473.81/9,083.65
  6. Step 6: Final answer
    x = 7,588.08

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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.