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Finding the Fourth Proportional to 9,707.29, 13,400.57 and 7,318.23

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Solution

The fourth proportional to 9,707.29, 13,400.57 and 7,318.23 is: 10,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.29 : 13,400.57 = 7,318.23 : x
  2. Step 2: Convert to fraction form
    9,707.29/13,400.57 = 7,318.23/x
  3. Step 3: Cross multiply
    9,707.29x = 13,400.57 × 7,318.23
  4. Step 4: Simplify right side
    9,707.29x = 98,068,455.65
  5. Step 5: Solve for x
    x = 98,068,455.65/9,707.29
  6. Step 6: Final answer
    x = 10,102.56

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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.