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Finding the Fourth Proportional to 7,709.78, 11,587.35 and 6,401.94

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Solution

The fourth proportional to 7,709.78, 11,587.35 and 6,401.94 is: 9,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.78 : 11,587.35 = 6,401.94 : x
  2. Step 2: Convert to fraction form
    7,709.78/11,587.35 = 6,401.94/x
  3. Step 3: Cross multiply
    7,709.78x = 11,587.35 × 6,401.94
  4. Step 4: Simplify right side
    7,709.78x = 74,181,500.01
  5. Step 5: Solve for x
    x = 74,181,500.01/7,709.78
  6. Step 6: Final answer
    x = 9,621.74

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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.