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Finding the Fourth Proportional to 9,206.31, 12,704.66 and 5,014.47

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Solution

The fourth proportional to 9,206.31, 12,704.66 and 5,014.47 is: 6,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.31 : 12,704.66 = 5,014.47 : x
  2. Step 2: Convert to fraction form
    9,206.31/12,704.66 = 5,014.47/x
  3. Step 3: Cross multiply
    9,206.31x = 12,704.66 × 5,014.47
  4. Step 4: Simplify right side
    9,206.31x = 63,707,111.36
  5. Step 5: Solve for x
    x = 63,707,111.36/9,206.31
  6. Step 6: Final answer
    x = 6,919.94

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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.