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Finding the Fourth Proportional to 6,916, 9,544.08 and 4,432

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Solution

The fourth proportional to 6,916, 9,544.08 and 4,432 is: 6,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916 : 9,544.08 = 4,432 : x
  2. Step 2: Convert to fraction form
    6,916/9,544.08 = 4,432/x
  3. Step 3: Cross multiply
    6,916x = 9,544.08 × 4,432
  4. Step 4: Simplify right side
    6,916x = 42,299,362.56
  5. Step 5: Solve for x
    x = 42,299,362.56/6,916
  6. Step 6: Final answer
    x = 6,116.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.