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Finding the Fourth Proportional to 6,128.69, 9,193.03 and 1,746.14

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Solution

The fourth proportional to 6,128.69, 9,193.03 and 1,746.14 is: 2,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.69 : 9,193.03 = 1,746.14 : x
  2. Step 2: Convert to fraction form
    6,128.69/9,193.03 = 1,746.14/x
  3. Step 3: Cross multiply
    6,128.69x = 9,193.03 × 1,746.14
  4. Step 4: Simplify right side
    6,128.69x = 16,052,267.07
  5. Step 5: Solve for x
    x = 16,052,267.07/6,128.69
  6. Step 6: Final answer
    x = 2,619.20

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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.