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Finding the Fourth Proportional to 9,678.95, 13,353.49 and 5,487.20

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Solution

The fourth proportional to 9,678.95, 13,353.49 and 5,487.20 is: 7,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.95 : 13,353.49 = 5,487.20 : x
  2. Step 2: Convert to fraction form
    9,678.95/13,353.49 = 5,487.20/x
  3. Step 3: Cross multiply
    9,678.95x = 13,353.49 × 5,487.20
  4. Step 4: Simplify right side
    9,678.95x = 73,273,270.33
  5. Step 5: Solve for x
    x = 73,273,270.33/9,678.95
  6. Step 6: Final answer
    x = 7,570.37

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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.