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Finding the Fourth Proportional to 9,166.58, 13,730.73 and 5,862.89

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Solution

The fourth proportional to 9,166.58, 13,730.73 and 5,862.89 is: 8,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.58 : 13,730.73 = 5,862.89 : x
  2. Step 2: Convert to fraction form
    9,166.58/13,730.73 = 5,862.89/x
  3. Step 3: Cross multiply
    9,166.58x = 13,730.73 × 5,862.89
  4. Step 4: Simplify right side
    9,166.58x = 80,501,771.95
  5. Step 5: Solve for x
    x = 80,501,771.95/9,166.58
  6. Step 6: Final answer
    x = 8,782.10

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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.