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Finding the Fourth Proportional to 10,237.98, 14,130.09 and 6,463.22

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Solution

The fourth proportional to 10,237.98, 14,130.09 and 6,463.22 is: 8,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.98 : 14,130.09 = 6,463.22 : x
  2. Step 2: Convert to fraction form
    10,237.98/14,130.09 = 6,463.22/x
  3. Step 3: Cross multiply
    10,237.98x = 14,130.09 × 6,463.22
  4. Step 4: Simplify right side
    10,237.98x = 91,325,809.64
  5. Step 5: Solve for x
    x = 91,325,809.64/10,237.98
  6. Step 6: Final answer
    x = 8,920.30

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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.