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Finding the Fourth Proportional to 9,701.12, 13,392.86 and 5,925.17

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Solution

The fourth proportional to 9,701.12, 13,392.86 and 5,925.17 is: 8,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.12 : 13,392.86 = 5,925.17 : x
  2. Step 2: Convert to fraction form
    9,701.12/13,392.86 = 5,925.17/x
  3. Step 3: Cross multiply
    9,701.12x = 13,392.86 × 5,925.17
  4. Step 4: Simplify right side
    9,701.12x = 79,354,875.70
  5. Step 5: Solve for x
    x = 79,354,875.70/9,701.12
  6. Step 6: Final answer
    x = 8,179.97

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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.