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Finding the Fourth Proportional to 6,603.31, 9,105.10 and 4,210.09

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Solution

The fourth proportional to 6,603.31, 9,105.10 and 4,210.09 is: 5,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.31 : 9,105.10 = 4,210.09 : x
  2. Step 2: Convert to fraction form
    6,603.31/9,105.10 = 4,210.09/x
  3. Step 3: Cross multiply
    6,603.31x = 9,105.10 × 4,210.09
  4. Step 4: Simplify right side
    6,603.31x = 38,333,290.46
  5. Step 5: Solve for x
    x = 38,333,290.46/6,603.31
  6. Step 6: Final answer
    x = 5,805.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.