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Finding the Fourth Proportional to 10,314, 14,237.01 and 6,122.25

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Solution

The fourth proportional to 10,314, 14,237.01 and 6,122.25 is: 8,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 14,237.01 = 6,122.25 : x
  2. Step 2: Convert to fraction form
    10,314/14,237.01 = 6,122.25/x
  3. Step 3: Cross multiply
    10,314x = 14,237.01 × 6,122.25
  4. Step 4: Simplify right side
    10,314x = 87,162,534.47
  5. Step 5: Solve for x
    x = 87,162,534.47/10,314
  6. Step 6: Final answer
    x = 8,450.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.