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Finding the Fourth Proportional to 9,166.26, 12,637.80 and 7,485.96

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Solution

The fourth proportional to 9,166.26, 12,637.80 and 7,485.96 is: 10,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.26 : 12,637.80 = 7,485.96 : x
  2. Step 2: Convert to fraction form
    9,166.26/12,637.80 = 7,485.96/x
  3. Step 3: Cross multiply
    9,166.26x = 12,637.80 × 7,485.96
  4. Step 4: Simplify right side
    9,166.26x = 94,606,065.29
  5. Step 5: Solve for x
    x = 94,606,065.29/9,166.26
  6. Step 6: Final answer
    x = 10,321.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.