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Finding the Fourth Proportional to 9,497.16, 13,106.34 and 5,305.68

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Solution

The fourth proportional to 9,497.16, 13,106.34 and 5,305.68 is: 7,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.16 : 13,106.34 = 5,305.68 : x
  2. Step 2: Convert to fraction form
    9,497.16/13,106.34 = 5,305.68/x
  3. Step 3: Cross multiply
    9,497.16x = 13,106.34 × 5,305.68
  4. Step 4: Simplify right side
    9,497.16x = 69,538,046.01
  5. Step 5: Solve for x
    x = 69,538,046.01/9,497.16
  6. Step 6: Final answer
    x = 7,321.98

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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.