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Finding the Fourth Proportional to 10,737.74, 14,814.59 and 6,963.84

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Solution

The fourth proportional to 10,737.74, 14,814.59 and 6,963.84 is: 9,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.74 : 14,814.59 = 6,963.84 : x
  2. Step 2: Convert to fraction form
    10,737.74/14,814.59 = 6,963.84/x
  3. Step 3: Cross multiply
    10,737.74x = 14,814.59 × 6,963.84
  4. Step 4: Simplify right side
    10,737.74x = 103,166,399.61
  5. Step 5: Solve for x
    x = 103,166,399.61/10,737.74
  6. Step 6: Final answer
    x = 9,607.84

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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.