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Finding the Fourth Proportional to 9,703.06, 13,390.65 and 5,672.57

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Solution

The fourth proportional to 9,703.06, 13,390.65 and 5,672.57 is: 7,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.06 : 13,390.65 = 5,672.57 : x
  2. Step 2: Convert to fraction form
    9,703.06/13,390.65 = 5,672.57/x
  3. Step 3: Cross multiply
    9,703.06x = 13,390.65 × 5,672.57
  4. Step 4: Simplify right side
    9,703.06x = 75,959,332.52
  5. Step 5: Solve for x
    x = 75,959,332.52/9,703.06
  6. Step 6: Final answer
    x = 7,828.39

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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.