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Finding the Fourth Proportional to 6,070.74, 9,106.17 and 1,910.66

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Solution

The fourth proportional to 6,070.74, 9,106.17 and 1,910.66 is: 2,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.74 : 9,106.17 = 1,910.66 : x
  2. Step 2: Convert to fraction form
    6,070.74/9,106.17 = 1,910.66/x
  3. Step 3: Cross multiply
    6,070.74x = 9,106.17 × 1,910.66
  4. Step 4: Simplify right side
    6,070.74x = 17,398,749.24
  5. Step 5: Solve for x
    x = 17,398,749.24/6,070.74
  6. Step 6: Final answer
    x = 2,866.00

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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.