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Finding the Fourth Proportional to 9,851.94, 13,598.01 and 5,662.62

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Solution

The fourth proportional to 9,851.94, 13,598.01 and 5,662.62 is: 7,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.94 : 13,598.01 = 5,662.62 : x
  2. Step 2: Convert to fraction form
    9,851.94/13,598.01 = 5,662.62/x
  3. Step 3: Cross multiply
    9,851.94x = 13,598.01 × 5,662.62
  4. Step 4: Simplify right side
    9,851.94x = 77,000,363.39
  5. Step 5: Solve for x
    x = 77,000,363.39/9,851.94
  6. Step 6: Final answer
    x = 7,815.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.