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Finding the Fourth Proportional to 6,564.53, 9,848.81 and 2,616.99

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Solution

The fourth proportional to 6,564.53, 9,848.81 and 2,616.99 is: 3,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.53 : 9,848.81 = 2,616.99 : x
  2. Step 2: Convert to fraction form
    6,564.53/9,848.81 = 2,616.99/x
  3. Step 3: Cross multiply
    6,564.53x = 9,848.81 × 2,616.99
  4. Step 4: Simplify right side
    6,564.53x = 25,774,243.82
  5. Step 5: Solve for x
    x = 25,774,243.82/6,564.53
  6. Step 6: Final answer
    x = 3,926.29

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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.