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Finding the Fourth Proportional to 8,713.84, 12,024.78 and 4,734.87

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Solution

The fourth proportional to 8,713.84, 12,024.78 and 4,734.87 is: 6,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.84 : 12,024.78 = 4,734.87 : x
  2. Step 2: Convert to fraction form
    8,713.84/12,024.78 = 4,734.87/x
  3. Step 3: Cross multiply
    8,713.84x = 12,024.78 × 4,734.87
  4. Step 4: Simplify right side
    8,713.84x = 56,935,737.46
  5. Step 5: Solve for x
    x = 56,935,737.46/8,713.84
  6. Step 6: Final answer
    x = 6,533.94

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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.