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Finding the Fourth Proportional to 9,776.14, 14,660.62 and 3,534.65

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Solution

The fourth proportional to 9,776.14, 14,660.62 and 3,534.65 is: 5,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.14 : 14,660.62 = 3,534.65 : x
  2. Step 2: Convert to fraction form
    9,776.14/14,660.62 = 3,534.65/x
  3. Step 3: Cross multiply
    9,776.14x = 14,660.62 × 3,534.65
  4. Step 4: Simplify right side
    9,776.14x = 51,820,160.48
  5. Step 5: Solve for x
    x = 51,820,160.48/9,776.14
  6. Step 6: Final answer
    x = 5,300.68

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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.