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Finding the Fourth Proportional to 9,090.74, 13,648.88 and 4,651.58

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Solution

The fourth proportional to 9,090.74, 13,648.88 and 4,651.58 is: 6,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.74 : 13,648.88 = 4,651.58 : x
  2. Step 2: Convert to fraction form
    9,090.74/13,648.88 = 4,651.58/x
  3. Step 3: Cross multiply
    9,090.74x = 13,648.88 × 4,651.58
  4. Step 4: Simplify right side
    9,090.74x = 63,488,902.98
  5. Step 5: Solve for x
    x = 63,488,902.98/9,090.74
  6. Step 6: Final answer
    x = 6,983.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.