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Finding the Fourth Proportional to 9,293.55, 13,935.71 and 3,370.20

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Solution

The fourth proportional to 9,293.55, 13,935.71 and 3,370.20 is: 5,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.55 : 13,935.71 = 3,370.20 : x
  2. Step 2: Convert to fraction form
    9,293.55/13,935.71 = 3,370.20/x
  3. Step 3: Cross multiply
    9,293.55x = 13,935.71 × 3,370.20
  4. Step 4: Simplify right side
    9,293.55x = 46,966,129.84
  5. Step 5: Solve for x
    x = 46,966,129.84/9,293.55
  6. Step 6: Final answer
    x = 5,053.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.