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Finding the Fourth Proportional to 6,905, 9,529.06 and 3,920.36

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Solution

The fourth proportional to 6,905, 9,529.06 and 3,920.36 is: 5,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905 : 9,529.06 = 3,920.36 : x
  2. Step 2: Convert to fraction form
    6,905/9,529.06 = 3,920.36/x
  3. Step 3: Cross multiply
    6,905x = 9,529.06 × 3,920.36
  4. Step 4: Simplify right side
    6,905x = 37,357,345.66
  5. Step 5: Solve for x
    x = 37,357,345.66/6,905
  6. Step 6: Final answer
    x = 5,410.19

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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.