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Finding the Fourth Proportional to 6,262.65, 9,393.66 and 2,102.34

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Solution

The fourth proportional to 6,262.65, 9,393.66 and 2,102.34 is: 3,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.65 : 9,393.66 = 2,102.34 : x
  2. Step 2: Convert to fraction form
    6,262.65/9,393.66 = 2,102.34/x
  3. Step 3: Cross multiply
    6,262.65x = 9,393.66 × 2,102.34
  4. Step 4: Simplify right side
    6,262.65x = 19,748,667.16
  5. Step 5: Solve for x
    x = 19,748,667.16/6,262.65
  6. Step 6: Final answer
    x = 3,153.40

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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.