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Finding the Fourth Proportional to 6,134.69, 9,203.63 and 1,752.49

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Solution

The fourth proportional to 6,134.69, 9,203.63 and 1,752.49 is: 2,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.69 : 9,203.63 = 1,752.49 : x
  2. Step 2: Convert to fraction form
    6,134.69/9,203.63 = 1,752.49/x
  3. Step 3: Cross multiply
    6,134.69x = 9,203.63 × 1,752.49
  4. Step 4: Simplify right side
    6,134.69x = 16,129,220.51
  5. Step 5: Solve for x
    x = 16,129,220.51/6,134.69
  6. Step 6: Final answer
    x = 2,629.18

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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.