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Finding the Fourth Proportional to 9,166.23, 13,782.56 and 8,444.52

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Solution

The fourth proportional to 9,166.23, 13,782.56 and 8,444.52 is: 12,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.23 : 13,782.56 = 8,444.52 : x
  2. Step 2: Convert to fraction form
    9,166.23/13,782.56 = 8,444.52/x
  3. Step 3: Cross multiply
    9,166.23x = 13,782.56 × 8,444.52
  4. Step 4: Simplify right side
    9,166.23x = 116,387,061.35
  5. Step 5: Solve for x
    x = 116,387,061.35/9,166.23
  6. Step 6: Final answer
    x = 12,697.38

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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.