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Finding the Fourth Proportional to 6,501.97, 9,709.09 and 6,433.30

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Solution

The fourth proportional to 6,501.97, 9,709.09 and 6,433.30 is: 9,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.97 : 9,709.09 = 6,433.30 : x
  2. Step 2: Convert to fraction form
    6,501.97/9,709.09 = 6,433.30/x
  3. Step 3: Cross multiply
    6,501.97x = 9,709.09 × 6,433.30
  4. Step 4: Simplify right side
    6,501.97x = 62,461,488.70
  5. Step 5: Solve for x
    x = 62,461,488.70/6,501.97
  6. Step 6: Final answer
    x = 9,606.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.