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Finding the Fourth Proportional to 9,707.72, 13,396.34 and 5,458.66

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Solution

The fourth proportional to 9,707.72, 13,396.34 and 5,458.66 is: 7,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.72 : 13,396.34 = 5,458.66 : x
  2. Step 2: Convert to fraction form
    9,707.72/13,396.34 = 5,458.66/x
  3. Step 3: Cross multiply
    9,707.72x = 13,396.34 × 5,458.66
  4. Step 4: Simplify right side
    9,707.72x = 73,126,065.30
  5. Step 5: Solve for x
    x = 73,126,065.30/9,707.72
  6. Step 6: Final answer
    x = 7,532.77

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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.