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Finding the Fourth Proportional to 6,864.38, 9,477.74 and 5,426.60

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Solution

The fourth proportional to 6,864.38, 9,477.74 and 5,426.60 is: 7,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.38 : 9,477.74 = 5,426.60 : x
  2. Step 2: Convert to fraction form
    6,864.38/9,477.74 = 5,426.60/x
  3. Step 3: Cross multiply
    6,864.38x = 9,477.74 × 5,426.60
  4. Step 4: Simplify right side
    6,864.38x = 51,431,829.36
  5. Step 5: Solve for x
    x = 51,431,829.36/6,864.38
  6. Step 6: Final answer
    x = 7,492.57

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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.