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Finding the Fourth Proportional to 6,681.92, 9,209.12 and 5,437.76

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Solution

The fourth proportional to 6,681.92, 9,209.12 and 5,437.76 is: 7,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.92 : 9,209.12 = 5,437.76 : x
  2. Step 2: Convert to fraction form
    6,681.92/9,209.12 = 5,437.76/x
  3. Step 3: Cross multiply
    6,681.92x = 9,209.12 × 5,437.76
  4. Step 4: Simplify right side
    6,681.92x = 50,076,984.37
  5. Step 5: Solve for x
    x = 50,076,984.37/6,681.92
  6. Step 6: Final answer
    x = 7,494.40

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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.