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Finding the Fourth Proportional to 6,070.82, 9,102.58 and 4,117.10

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Solution

The fourth proportional to 6,070.82, 9,102.58 and 4,117.10 is: 6,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.82 : 9,102.58 = 4,117.10 : x
  2. Step 2: Convert to fraction form
    6,070.82/9,102.58 = 4,117.10/x
  3. Step 3: Cross multiply
    6,070.82x = 9,102.58 × 4,117.10
  4. Step 4: Simplify right side
    6,070.82x = 37,476,176.31
  5. Step 5: Solve for x
    x = 37,476,176.31/6,070.82
  6. Step 6: Final answer
    x = 6,173.17

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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.