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Finding the Fourth Proportional to 9,707.21, 13,395.83 and 5,458.97

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Solution

The fourth proportional to 9,707.21, 13,395.83 and 5,458.97 is: 7,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.21 : 13,395.83 = 5,458.97 : x
  2. Step 2: Convert to fraction form
    9,707.21/13,395.83 = 5,458.97/x
  3. Step 3: Cross multiply
    9,707.21x = 13,395.83 × 5,458.97
  4. Step 4: Simplify right side
    9,707.21x = 73,127,440.29
  5. Step 5: Solve for x
    x = 73,127,440.29/9,707.21
  6. Step 6: Final answer
    x = 7,533.31

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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.