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Finding the Fourth Proportional to 7,043.69, 9,709.94 and 5,362.17

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Solution

The fourth proportional to 7,043.69, 9,709.94 and 5,362.17 is: 7,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.69 : 9,709.94 = 5,362.17 : x
  2. Step 2: Convert to fraction form
    7,043.69/9,709.94 = 5,362.17/x
  3. Step 3: Cross multiply
    7,043.69x = 9,709.94 × 5,362.17
  4. Step 4: Simplify right side
    7,043.69x = 52,066,322.16
  5. Step 5: Solve for x
    x = 52,066,322.16/7,043.69
  6. Step 6: Final answer
    x = 7,391.92

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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.