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Finding the Fourth Proportional to 10,347.94, 15,442.39 and 9,240.71

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Solution

The fourth proportional to 10,347.94, 15,442.39 and 9,240.71 is: 13,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.94 : 15,442.39 = 9,240.71 : x
  2. Step 2: Convert to fraction form
    10,347.94/15,442.39 = 9,240.71/x
  3. Step 3: Cross multiply
    10,347.94x = 15,442.39 × 9,240.71
  4. Step 4: Simplify right side
    10,347.94x = 142,698,601.49
  5. Step 5: Solve for x
    x = 142,698,601.49/10,347.94
  6. Step 6: Final answer
    x = 13,790.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.