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Finding the Fourth Proportional to 9,638.74, 14,461.26 and 4,373.14

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Solution

The fourth proportional to 9,638.74, 14,461.26 and 4,373.14 is: 6,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.74 : 14,461.26 = 4,373.14 : x
  2. Step 2: Convert to fraction form
    9,638.74/14,461.26 = 4,373.14/x
  3. Step 3: Cross multiply
    9,638.74x = 14,461.26 × 4,373.14
  4. Step 4: Simplify right side
    9,638.74x = 63,241,114.56
  5. Step 5: Solve for x
    x = 63,241,114.56/9,638.74
  6. Step 6: Final answer
    x = 6,561.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.