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Finding the Fourth Proportional to 9,772.84, 14,662.50 and 6,498.82

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Solution

The fourth proportional to 9,772.84, 14,662.50 and 6,498.82 is: 9,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.84 : 14,662.50 = 6,498.82 : x
  2. Step 2: Convert to fraction form
    9,772.84/14,662.50 = 6,498.82/x
  3. Step 3: Cross multiply
    9,772.84x = 14,662.50 × 6,498.82
  4. Step 4: Simplify right side
    9,772.84x = 95,288,948.25
  5. Step 5: Solve for x
    x = 95,288,948.25/9,772.84
  6. Step 6: Final answer
    x = 9,750.38

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