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Finding the Fourth Proportional to 9,409.59, 12,973.88 and 8,131.19

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Solution

The fourth proportional to 9,409.59, 12,973.88 and 8,131.19 is: 11,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.59 : 12,973.88 = 8,131.19 : x
  2. Step 2: Convert to fraction form
    9,409.59/12,973.88 = 8,131.19/x
  3. Step 3: Cross multiply
    9,409.59x = 12,973.88 × 8,131.19
  4. Step 4: Simplify right side
    9,409.59x = 105,493,038.78
  5. Step 5: Solve for x
    x = 105,493,038.78/9,409.59
  6. Step 6: Final answer
    x = 11,211.23

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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.