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Finding the Fourth Proportional to 9,332.35, 12,890.97 and 6,914.63

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Solution

The fourth proportional to 9,332.35, 12,890.97 and 6,914.63 is: 9,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.35 : 12,890.97 = 6,914.63 : x
  2. Step 2: Convert to fraction form
    9,332.35/12,890.97 = 6,914.63/x
  3. Step 3: Cross multiply
    9,332.35x = 12,890.97 × 6,914.63
  4. Step 4: Simplify right side
    9,332.35x = 89,136,320.12
  5. Step 5: Solve for x
    x = 89,136,320.12/9,332.35
  6. Step 6: Final answer
    x = 9,551.33

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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.