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Finding the Fourth Proportional to 7,210.62, 9,952.74 and 4,226.58

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Solution

The fourth proportional to 7,210.62, 9,952.74 and 4,226.58 is: 5,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.62 : 9,952.74 = 4,226.58 : x
  2. Step 2: Convert to fraction form
    7,210.62/9,952.74 = 4,226.58/x
  3. Step 3: Cross multiply
    7,210.62x = 9,952.74 × 4,226.58
  4. Step 4: Simplify right side
    7,210.62x = 42,066,051.83
  5. Step 5: Solve for x
    x = 42,066,051.83/7,210.62
  6. Step 6: Final answer
    x = 5,833.90

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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.