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Finding the Fourth Proportional to 10,737.84, 14,803.68 and 9,261.36

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Solution

The fourth proportional to 10,737.84, 14,803.68 and 9,261.36 is: 12,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.84 : 14,803.68 = 9,261.36 : x
  2. Step 2: Convert to fraction form
    10,737.84/14,803.68 = 9,261.36/x
  3. Step 3: Cross multiply
    10,737.84x = 14,803.68 × 9,261.36
  4. Step 4: Simplify right side
    10,737.84x = 137,102,209.80
  5. Step 5: Solve for x
    x = 137,102,209.80/10,737.84
  6. Step 6: Final answer
    x = 12,768.14

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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.