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Finding the Fourth Proportional to 9,776.55, 14,664.85 and 2,381.00

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Solution

The fourth proportional to 9,776.55, 14,664.85 and 2,381.00 is: 3,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.55 : 14,664.85 = 2,381.00 : x
  2. Step 2: Convert to fraction form
    9,776.55/14,664.85 = 2,381.00/x
  3. Step 3: Cross multiply
    9,776.55x = 14,664.85 × 2,381.00
  4. Step 4: Simplify right side
    9,776.55x = 34,916,928.57
  5. Step 5: Solve for x
    x = 34,916,928.57/9,776.55
  6. Step 6: Final answer
    x = 3,571.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.