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Finding the Fourth Proportional to 7,121.54, 9,827.82 and 3,934.91

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Solution

The fourth proportional to 7,121.54, 9,827.82 and 3,934.91 is: 5,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.54 : 9,827.82 = 3,934.91 : x
  2. Step 2: Convert to fraction form
    7,121.54/9,827.82 = 3,934.91/x
  3. Step 3: Cross multiply
    7,121.54x = 9,827.82 × 3,934.91
  4. Step 4: Simplify right side
    7,121.54x = 38,671,547.89
  5. Step 5: Solve for x
    x = 38,671,547.89/7,121.54
  6. Step 6: Final answer
    x = 5,430.22

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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.