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Finding the Fourth Proportional to 9,696.30, 13,380.54 and 5,925.77

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Solution

The fourth proportional to 9,696.30, 13,380.54 and 5,925.77 is: 8,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.30 : 13,380.54 = 5,925.77 : x
  2. Step 2: Convert to fraction form
    9,696.30/13,380.54 = 5,925.77/x
  3. Step 3: Cross multiply
    9,696.30x = 13,380.54 × 5,925.77
  4. Step 4: Simplify right side
    9,696.30x = 79,290,002.52
  5. Step 5: Solve for x
    x = 79,290,002.52/9,696.30
  6. Step 6: Final answer
    x = 8,177.35

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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.