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Finding the Fourth Proportional to 6,032.98, 9,090.57 and 4,961.35

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Solution

The fourth proportional to 6,032.98, 9,090.57 and 4,961.35 is: 7,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.98 : 9,090.57 = 4,961.35 : x
  2. Step 2: Convert to fraction form
    6,032.98/9,090.57 = 4,961.35/x
  3. Step 3: Cross multiply
    6,032.98x = 9,090.57 × 4,961.35
  4. Step 4: Simplify right side
    6,032.98x = 45,101,499.47
  5. Step 5: Solve for x
    x = 45,101,499.47/6,032.98
  6. Step 6: Final answer
    x = 7,475.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.