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Finding the Fourth Proportional to 9,656.94, 14,491.90 and 3,416.93

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Solution

The fourth proportional to 9,656.94, 14,491.90 and 3,416.93 is: 5,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.94 : 14,491.90 = 3,416.93 : x
  2. Step 2: Convert to fraction form
    9,656.94/14,491.90 = 3,416.93/x
  3. Step 3: Cross multiply
    9,656.94x = 14,491.90 × 3,416.93
  4. Step 4: Simplify right side
    9,656.94x = 49,517,726.87
  5. Step 5: Solve for x
    x = 49,517,726.87/9,656.94
  6. Step 6: Final answer
    x = 5,127.68

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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.