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Finding the Fourth Proportional to 9,703.41, 13,391.97 and 5,925.78

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Solution

The fourth proportional to 9,703.41, 13,391.97 and 5,925.78 is: 8,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.41 : 13,391.97 = 5,925.78 : x
  2. Step 2: Convert to fraction form
    9,703.41/13,391.97 = 5,925.78/x
  3. Step 3: Cross multiply
    9,703.41x = 13,391.97 × 5,925.78
  4. Step 4: Simplify right side
    9,703.41x = 79,357,867.99
  5. Step 5: Solve for x
    x = 79,357,867.99/9,703.41
  6. Step 6: Final answer
    x = 8,178.35

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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.