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Finding the Fourth Proportional to 7,054.32, 9,732.20 and 4,536.06

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Solution

The fourth proportional to 7,054.32, 9,732.20 and 4,536.06 is: 6,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.32 : 9,732.20 = 4,536.06 : x
  2. Step 2: Convert to fraction form
    7,054.32/9,732.20 = 4,536.06/x
  3. Step 3: Cross multiply
    7,054.32x = 9,732.20 × 4,536.06
  4. Step 4: Simplify right side
    7,054.32x = 44,145,843.13
  5. Step 5: Solve for x
    x = 44,145,843.13/7,054.32
  6. Step 6: Final answer
    x = 6,257.99

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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.