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Finding the Fourth Proportional to 7,122.32, 9,828.96 and 3,935.64

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Solution

The fourth proportional to 7,122.32, 9,828.96 and 3,935.64 is: 5,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.32 : 9,828.96 = 3,935.64 : x
  2. Step 2: Convert to fraction form
    7,122.32/9,828.96 = 3,935.64/x
  3. Step 3: Cross multiply
    7,122.32x = 9,828.96 × 3,935.64
  4. Step 4: Simplify right side
    7,122.32x = 38,683,248.13
  5. Step 5: Solve for x
    x = 38,683,248.13/7,122.32
  6. Step 6: Final answer
    x = 5,431.27

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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.