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Finding the Fourth Proportional to 6,174.84, 9,262.28 and 3,400.10

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Solution

The fourth proportional to 6,174.84, 9,262.28 and 3,400.10 is: 5,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.84 : 9,262.28 = 3,400.10 : x
  2. Step 2: Convert to fraction form
    6,174.84/9,262.28 = 3,400.10/x
  3. Step 3: Cross multiply
    6,174.84x = 9,262.28 × 3,400.10
  4. Step 4: Simplify right side
    6,174.84x = 31,492,678.23
  5. Step 5: Solve for x
    x = 31,492,678.23/6,174.84
  6. Step 6: Final answer
    x = 5,100.16

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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.