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Finding the Fourth Proportional to 9,778.47, 14,667.71 and 2,382.99

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Solution

The fourth proportional to 9,778.47, 14,667.71 and 2,382.99 is: 3,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.47 : 14,667.71 = 2,382.99 : x
  2. Step 2: Convert to fraction form
    9,778.47/14,667.71 = 2,382.99/x
  3. Step 3: Cross multiply
    9,778.47x = 14,667.71 × 2,382.99
  4. Step 4: Simplify right side
    9,778.47x = 34,953,069.79
  5. Step 5: Solve for x
    x = 34,953,069.79/9,778.47
  6. Step 6: Final answer
    x = 3,574.49

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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.