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Finding the Fourth Proportional to 9,287.39, 12,816.47 and 5,038.37

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Solution

The fourth proportional to 9,287.39, 12,816.47 and 5,038.37 is: 6,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.39 : 12,816.47 = 5,038.37 : x
  2. Step 2: Convert to fraction form
    9,287.39/12,816.47 = 5,038.37/x
  3. Step 3: Cross multiply
    9,287.39x = 12,816.47 × 5,038.37
  4. Step 4: Simplify right side
    9,287.39x = 64,574,028.68
  5. Step 5: Solve for x
    x = 64,574,028.68/9,287.39
  6. Step 6: Final answer
    x = 6,952.88

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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.