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Finding the Fourth Proportional to 7,133.54, 9,838.31 and 5,345.22

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Solution

The fourth proportional to 7,133.54, 9,838.31 and 5,345.22 is: 7,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.54 : 9,838.31 = 5,345.22 : x
  2. Step 2: Convert to fraction form
    7,133.54/9,838.31 = 5,345.22/x
  3. Step 3: Cross multiply
    7,133.54x = 9,838.31 × 5,345.22
  4. Step 4: Simplify right side
    7,133.54x = 52,587,931.38
  5. Step 5: Solve for x
    x = 52,587,931.38/7,133.54
  6. Step 6: Final answer
    x = 7,371.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.