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Finding the Fourth Proportional to 6,277.37, 9,417.78 and 5,104.46

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Solution

The fourth proportional to 6,277.37, 9,417.78 and 5,104.46 is: 7,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.37 : 9,417.78 = 5,104.46 : x
  2. Step 2: Convert to fraction form
    6,277.37/9,417.78 = 5,104.46/x
  3. Step 3: Cross multiply
    6,277.37x = 9,417.78 × 5,104.46
  4. Step 4: Simplify right side
    6,277.37x = 48,072,704.84
  5. Step 5: Solve for x
    x = 48,072,704.84/6,277.37
  6. Step 6: Final answer
    x = 7,658.10

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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.