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Finding the Fourth Proportional to 9,686.84, 13,374.06 and 5,963

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Solution

The fourth proportional to 9,686.84, 13,374.06 and 5,963 is: 8,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.84 : 13,374.06 = 5,963 : x
  2. Step 2: Convert to fraction form
    9,686.84/13,374.06 = 5,963/x
  3. Step 3: Cross multiply
    9,686.84x = 13,374.06 × 5,963
  4. Step 4: Simplify right side
    9,686.84x = 79,749,519.78
  5. Step 5: Solve for x
    x = 79,749,519.78/9,686.84
  6. Step 6: Final answer
    x = 8,232.77

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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.