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Finding the Fourth Proportional to 9,294.66, 13,929.81 and 8,056.98

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Solution

The fourth proportional to 9,294.66, 13,929.81 and 8,056.98 is: 12,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.66 : 13,929.81 = 8,056.98 : x
  2. Step 2: Convert to fraction form
    9,294.66/13,929.81 = 8,056.98/x
  3. Step 3: Cross multiply
    9,294.66x = 13,929.81 × 8,056.98
  4. Step 4: Simplify right side
    9,294.66x = 112,232,200.57
  5. Step 5: Solve for x
    x = 112,232,200.57/9,294.66
  6. Step 6: Final answer
    x = 12,074.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.