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Finding the Fourth Proportional to 9,815.20, 13,537.20 and 6,938.84

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Solution

The fourth proportional to 9,815.20, 13,537.20 and 6,938.84 is: 9,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.20 : 13,537.20 = 6,938.84 : x
  2. Step 2: Convert to fraction form
    9,815.20/13,537.20 = 6,938.84/x
  3. Step 3: Cross multiply
    9,815.20x = 13,537.20 × 6,938.84
  4. Step 4: Simplify right side
    9,815.20x = 93,932,362.47
  5. Step 5: Solve for x
    x = 93,932,362.47/9,815.20
  6. Step 6: Final answer
    x = 9,570.10

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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.