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Finding the Fourth Proportional to 6,840.58, 9,438.81 and 4,045.06

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Solution

The fourth proportional to 6,840.58, 9,438.81 and 4,045.06 is: 5,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.58 : 9,438.81 = 4,045.06 : x
  2. Step 2: Convert to fraction form
    6,840.58/9,438.81 = 4,045.06/x
  3. Step 3: Cross multiply
    6,840.58x = 9,438.81 × 4,045.06
  4. Step 4: Simplify right side
    6,840.58x = 38,180,552.78
  5. Step 5: Solve for x
    x = 38,180,552.78/6,840.58
  6. Step 6: Final answer
    x = 5,581.48

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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.