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Finding the Fourth Proportional to 9,776.04, 14,664.04 and 2,380.50

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Solution

The fourth proportional to 9,776.04, 14,664.04 and 2,380.50 is: 3,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.04 : 14,664.04 = 2,380.50 : x
  2. Step 2: Convert to fraction form
    9,776.04/14,664.04 = 2,380.50/x
  3. Step 3: Cross multiply
    9,776.04x = 14,664.04 × 2,380.50
  4. Step 4: Simplify right side
    9,776.04x = 34,907,747.22
  5. Step 5: Solve for x
    x = 34,907,747.22/9,776.04
  6. Step 6: Final answer
    x = 3,570.75

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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.