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Finding the Fourth Proportional to 6,495.63, 9,737.61 and 2,334.66

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Solution

The fourth proportional to 6,495.63, 9,737.61 and 2,334.66 is: 3,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.63 : 9,737.61 = 2,334.66 : x
  2. Step 2: Convert to fraction form
    6,495.63/9,737.61 = 2,334.66/x
  3. Step 3: Cross multiply
    6,495.63x = 9,737.61 × 2,334.66
  4. Step 4: Simplify right side
    6,495.63x = 22,734,008.56
  5. Step 5: Solve for x
    x = 22,734,008.56/6,495.63
  6. Step 6: Final answer
    x = 3,499.89

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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.