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Finding the Fourth Proportional to 6,585.42, 9,091.18 and 5,089.95

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Solution

The fourth proportional to 6,585.42, 9,091.18 and 5,089.95 is: 7,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.42 : 9,091.18 = 5,089.95 : x
  2. Step 2: Convert to fraction form
    6,585.42/9,091.18 = 5,089.95/x
  3. Step 3: Cross multiply
    6,585.42x = 9,091.18 × 5,089.95
  4. Step 4: Simplify right side
    6,585.42x = 46,273,661.64
  5. Step 5: Solve for x
    x = 46,273,661.64/6,585.42
  6. Step 6: Final answer
    x = 7,026.69

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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.