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Finding the Fourth Proportional to 9,143.66, 13,693.62 and 8,684.40

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Solution

The fourth proportional to 9,143.66, 13,693.62 and 8,684.40 is: 13,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.66 : 13,693.62 = 8,684.40 : x
  2. Step 2: Convert to fraction form
    9,143.66/13,693.62 = 8,684.40/x
  3. Step 3: Cross multiply
    9,143.66x = 13,693.62 × 8,684.40
  4. Step 4: Simplify right side
    9,143.66x = 118,920,873.53
  5. Step 5: Solve for x
    x = 118,920,873.53/9,143.66
  6. Step 6: Final answer
    x = 13,005.83

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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.