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Finding the Fourth Proportional to 9,285.57, 12,814.13 and 5,036.65

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Solution

The fourth proportional to 9,285.57, 12,814.13 and 5,036.65 is: 6,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.57 : 12,814.13 = 5,036.65 : x
  2. Step 2: Convert to fraction form
    9,285.57/12,814.13 = 5,036.65/x
  3. Step 3: Cross multiply
    9,285.57x = 12,814.13 × 5,036.65
  4. Step 4: Simplify right side
    9,285.57x = 64,540,268.42
  5. Step 5: Solve for x
    x = 64,540,268.42/9,285.57
  6. Step 6: Final answer
    x = 6,950.60

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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.