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Finding the Fourth Proportional to 9,376.94, 12,934.08 and 6,014.43

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Solution

The fourth proportional to 9,376.94, 12,934.08 and 6,014.43 is: 8,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.94 : 12,934.08 = 6,014.43 : x
  2. Step 2: Convert to fraction form
    9,376.94/12,934.08 = 6,014.43/x
  3. Step 3: Cross multiply
    9,376.94x = 12,934.08 × 6,014.43
  4. Step 4: Simplify right side
    9,376.94x = 77,791,118.77
  5. Step 5: Solve for x
    x = 77,791,118.77/9,376.94
  6. Step 6: Final answer
    x = 8,296.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.