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Finding the Fourth Proportional to 6,475.07, 9,699.75 and 4,989.14

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Solution

The fourth proportional to 6,475.07, 9,699.75 and 4,989.14 is: 7,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.07 : 9,699.75 = 4,989.14 : x
  2. Step 2: Convert to fraction form
    6,475.07/9,699.75 = 4,989.14/x
  3. Step 3: Cross multiply
    6,475.07x = 9,699.75 × 4,989.14
  4. Step 4: Simplify right side
    6,475.07x = 48,393,353.73
  5. Step 5: Solve for x
    x = 48,393,353.73/6,475.07
  6. Step 6: Final answer
    x = 7,473.80

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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.