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Finding the Fourth Proportional to 7,045.58, 9,723.12 and 3,902.06

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Solution

The fourth proportional to 7,045.58, 9,723.12 and 3,902.06 is: 5,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.58 : 9,723.12 = 3,902.06 : x
  2. Step 2: Convert to fraction form
    7,045.58/9,723.12 = 3,902.06/x
  3. Step 3: Cross multiply
    7,045.58x = 9,723.12 × 3,902.06
  4. Step 4: Simplify right side
    7,045.58x = 37,940,197.63
  5. Step 5: Solve for x
    x = 37,940,197.63/7,045.58
  6. Step 6: Final answer
    x = 5,384.96

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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.