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Finding the Fourth Proportional to 6,400.72, 9,597.66 and 2,935

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Solution

The fourth proportional to 6,400.72, 9,597.66 and 2,935 is: 4,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.72 : 9,597.66 = 2,935 : x
  2. Step 2: Convert to fraction form
    6,400.72/9,597.66 = 2,935/x
  3. Step 3: Cross multiply
    6,400.72x = 9,597.66 × 2,935
  4. Step 4: Simplify right side
    6,400.72x = 28,169,132.10
  5. Step 5: Solve for x
    x = 28,169,132.10/6,400.72
  6. Step 6: Final answer
    x = 4,400.93

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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.