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Finding the Fourth Proportional to 9,096.74, 12,559.71 and 6,707

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Solution

The fourth proportional to 9,096.74, 12,559.71 and 6,707 is: 9,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.74 : 12,559.71 = 6,707 : x
  2. Step 2: Convert to fraction form
    9,096.74/12,559.71 = 6,707/x
  3. Step 3: Cross multiply
    9,096.74x = 12,559.71 × 6,707
  4. Step 4: Simplify right side
    9,096.74x = 84,237,974.97
  5. Step 5: Solve for x
    x = 84,237,974.97/9,096.74
  6. Step 6: Final answer
    x = 9,260.24

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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.