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Finding the Fourth Proportional to 6,210.36, 9,315.56 and 3,897

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Solution

The fourth proportional to 6,210.36, 9,315.56 and 3,897 is: 5,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.36 : 9,315.56 = 3,897 : x
  2. Step 2: Convert to fraction form
    6,210.36/9,315.56 = 3,897/x
  3. Step 3: Cross multiply
    6,210.36x = 9,315.56 × 3,897
  4. Step 4: Simplify right side
    6,210.36x = 36,302,737.32
  5. Step 5: Solve for x
    x = 36,302,737.32/6,210.36
  6. Step 6: Final answer
    x = 5,845.51

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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.