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Finding the Fourth Proportional to 6,095.66, 9,141.62 and 2,585.60

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Solution

The fourth proportional to 6,095.66, 9,141.62 and 2,585.60 is: 3,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.66 : 9,141.62 = 2,585.60 : x
  2. Step 2: Convert to fraction form
    6,095.66/9,141.62 = 2,585.60/x
  3. Step 3: Cross multiply
    6,095.66x = 9,141.62 × 2,585.60
  4. Step 4: Simplify right side
    6,095.66x = 23,636,526.96
  5. Step 5: Solve for x
    x = 23,636,526.96/6,095.66
  6. Step 6: Final answer
    x = 3,877.60

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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.