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Finding the Fourth Proportional to 9,417, 14,126.31 and 2,491.50

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Solution

The fourth proportional to 9,417, 14,126.31 and 2,491.50 is: 3,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417 : 14,126.31 = 2,491.50 : x
  2. Step 2: Convert to fraction form
    9,417/14,126.31 = 2,491.50/x
  3. Step 3: Cross multiply
    9,417x = 14,126.31 × 2,491.50
  4. Step 4: Simplify right side
    9,417x = 35,195,701.37
  5. Step 5: Solve for x
    x = 35,195,701.37/9,417
  6. Step 6: Final answer
    x = 3,737.46

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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.