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Finding the Fourth Proportional to 6,842.88, 9,434.48 and 4,599.99

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Solution

The fourth proportional to 6,842.88, 9,434.48 and 4,599.99 is: 6,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.88 : 9,434.48 = 4,599.99 : x
  2. Step 2: Convert to fraction form
    6,842.88/9,434.48 = 4,599.99/x
  3. Step 3: Cross multiply
    6,842.88x = 9,434.48 × 4,599.99
  4. Step 4: Simplify right side
    6,842.88x = 43,398,490.66
  5. Step 5: Solve for x
    x = 43,398,490.66/6,842.88
  6. Step 6: Final answer
    x = 6,342.14

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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.