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Finding the Fourth Proportional to 6,477.86, 9,718.04 and 2,528.96

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Solution

The fourth proportional to 6,477.86, 9,718.04 and 2,528.96 is: 3,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.86 : 9,718.04 = 2,528.96 : x
  2. Step 2: Convert to fraction form
    6,477.86/9,718.04 = 2,528.96/x
  3. Step 3: Cross multiply
    6,477.86x = 9,718.04 × 2,528.96
  4. Step 4: Simplify right side
    6,477.86x = 24,576,492.17
  5. Step 5: Solve for x
    x = 24,576,492.17/6,477.86
  6. Step 6: Final answer
    x = 3,793.92

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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.