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Finding the Fourth Proportional to 6,277.32, 9,416.78 and 2,328.60

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Solution

The fourth proportional to 6,277.32, 9,416.78 and 2,328.60 is: 3,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.32 : 9,416.78 = 2,328.60 : x
  2. Step 2: Convert to fraction form
    6,277.32/9,416.78 = 2,328.60/x
  3. Step 3: Cross multiply
    6,277.32x = 9,416.78 × 2,328.60
  4. Step 4: Simplify right side
    6,277.32x = 21,927,913.91
  5. Step 5: Solve for x
    x = 21,927,913.91/6,277.32
  6. Step 6: Final answer
    x = 3,493.20

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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.