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Finding the Fourth Proportional to 6,633.88, 9,146.46 and 5,579.80

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Solution

The fourth proportional to 6,633.88, 9,146.46 and 5,579.80 is: 7,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.88 : 9,146.46 = 5,579.80 : x
  2. Step 2: Convert to fraction form
    6,633.88/9,146.46 = 5,579.80/x
  3. Step 3: Cross multiply
    6,633.88x = 9,146.46 × 5,579.80
  4. Step 4: Simplify right side
    6,633.88x = 51,035,417.51
  5. Step 5: Solve for x
    x = 51,035,417.51/6,633.88
  6. Step 6: Final answer
    x = 7,693.15

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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.