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Finding the Fourth Proportional to 9,345.83, 13,958.17 and 8,466.57

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Solution

The fourth proportional to 9,345.83, 13,958.17 and 8,466.57 is: 12,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.83 : 13,958.17 = 8,466.57 : x
  2. Step 2: Convert to fraction form
    9,345.83/13,958.17 = 8,466.57/x
  3. Step 3: Cross multiply
    9,345.83x = 13,958.17 × 8,466.57
  4. Step 4: Simplify right side
    9,345.83x = 118,177,823.38
  5. Step 5: Solve for x
    x = 118,177,823.38/9,345.83
  6. Step 6: Final answer
    x = 12,644.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.