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Finding the Fourth Proportional to 9,707.27, 13,368.31 and 8,741.96

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Solution

The fourth proportional to 9,707.27, 13,368.31 and 8,741.96 is: 12,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.27 : 13,368.31 = 8,741.96 : x
  2. Step 2: Convert to fraction form
    9,707.27/13,368.31 = 8,741.96/x
  3. Step 3: Cross multiply
    9,707.27x = 13,368.31 × 8,741.96
  4. Step 4: Simplify right side
    9,707.27x = 116,865,242.85
  5. Step 5: Solve for x
    x = 116,865,242.85/9,707.27
  6. Step 6: Final answer
    x = 12,038.94

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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.