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Finding the Fourth Proportional to 9,709.07, 13,398.08 and 5,938.52

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Solution

The fourth proportional to 9,709.07, 13,398.08 and 5,938.52 is: 8,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.07 : 13,398.08 = 5,938.52 : x
  2. Step 2: Convert to fraction form
    9,709.07/13,398.08 = 5,938.52/x
  3. Step 3: Cross multiply
    9,709.07x = 13,398.08 × 5,938.52
  4. Step 4: Simplify right side
    9,709.07x = 79,564,669.36
  5. Step 5: Solve for x
    x = 79,564,669.36/9,709.07
  6. Step 6: Final answer
    x = 8,194.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.