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Finding the Fourth Proportional to 6,845.09, 9,437.66 and 5,712.38

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Solution

The fourth proportional to 6,845.09, 9,437.66 and 5,712.38 is: 7,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.09 : 9,437.66 = 5,712.38 : x
  2. Step 2: Convert to fraction form
    6,845.09/9,437.66 = 5,712.38/x
  3. Step 3: Cross multiply
    6,845.09x = 9,437.66 × 5,712.38
  4. Step 4: Simplify right side
    6,845.09x = 53,911,534.38
  5. Step 5: Solve for x
    x = 53,911,534.38/6,845.09
  6. Step 6: Final answer
    x = 7,875.95

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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.