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Finding the Fourth Proportional to 9,776.13, 14,664 and 2,380.62

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Solution

The fourth proportional to 9,776.13, 14,664 and 2,380.62 is: 3,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.13 : 14,664 = 2,380.62 : x
  2. Step 2: Convert to fraction form
    9,776.13/14,664 = 2,380.62/x
  3. Step 3: Cross multiply
    9,776.13x = 14,664 × 2,380.62
  4. Step 4: Simplify right side
    9,776.13x = 34,909,411.68
  5. Step 5: Solve for x
    x = 34,909,411.68/9,776.13
  6. Step 6: Final answer
    x = 3,570.88

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