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Finding the Fourth Proportional to 10,073.94, 13,904.78 and 6,294.84

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Solution

The fourth proportional to 10,073.94, 13,904.78 and 6,294.84 is: 8,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.94 : 13,904.78 = 6,294.84 : x
  2. Step 2: Convert to fraction form
    10,073.94/13,904.78 = 6,294.84/x
  3. Step 3: Cross multiply
    10,073.94x = 13,904.78 × 6,294.84
  4. Step 4: Simplify right side
    10,073.94x = 87,528,333.86
  5. Step 5: Solve for x
    x = 87,528,333.86/10,073.94
  6. Step 6: Final answer
    x = 8,688.59

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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.