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Finding the Fourth Proportional to 9,386.42, 12,949.16 and 5,608.38

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Solution

The fourth proportional to 9,386.42, 12,949.16 and 5,608.38 is: 7,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.42 : 12,949.16 = 5,608.38 : x
  2. Step 2: Convert to fraction form
    9,386.42/12,949.16 = 5,608.38/x
  3. Step 3: Cross multiply
    9,386.42x = 12,949.16 × 5,608.38
  4. Step 4: Simplify right side
    9,386.42x = 72,623,809.96
  5. Step 5: Solve for x
    x = 72,623,809.96/9,386.42
  6. Step 6: Final answer
    x = 7,737.11

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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.