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Finding the Fourth Proportional to 9,287.13, 12,816.13 and 5,038.11

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Solution

The fourth proportional to 9,287.13, 12,816.13 and 5,038.11 is: 6,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.13 : 12,816.13 = 5,038.11 : x
  2. Step 2: Convert to fraction form
    9,287.13/12,816.13 = 5,038.11/x
  3. Step 3: Cross multiply
    9,287.13x = 12,816.13 × 5,038.11
  4. Step 4: Simplify right side
    9,287.13x = 64,569,072.71
  5. Step 5: Solve for x
    x = 64,569,072.71/9,287.13
  6. Step 6: Final answer
    x = 6,952.53

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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.