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Finding the Fourth Proportional to 9,253.34, 12,769.34 and 5,061.50

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Solution

The fourth proportional to 9,253.34, 12,769.34 and 5,061.50 is: 6,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.34 : 12,769.34 = 5,061.50 : x
  2. Step 2: Convert to fraction form
    9,253.34/12,769.34 = 5,061.50/x
  3. Step 3: Cross multiply
    9,253.34x = 12,769.34 × 5,061.50
  4. Step 4: Simplify right side
    9,253.34x = 64,632,014.41
  5. Step 5: Solve for x
    x = 64,632,014.41/9,253.34
  6. Step 6: Final answer
    x = 6,984.72

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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.