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Finding the Fourth Proportional to 9,719.33, 13,424.76 and 8,774.66

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Solution

The fourth proportional to 9,719.33, 13,424.76 and 8,774.66 is: 12,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.33 : 13,424.76 = 8,774.66 : x
  2. Step 2: Convert to fraction form
    9,719.33/13,424.76 = 8,774.66/x
  3. Step 3: Cross multiply
    9,719.33x = 13,424.76 × 8,774.66
  4. Step 4: Simplify right side
    9,719.33x = 117,797,637.46
  5. Step 5: Solve for x
    x = 117,797,637.46/9,719.33
  6. Step 6: Final answer
    x = 12,119.94

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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.