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Finding the Fourth Proportional to 7,116.34, 9,820.49 and 3,929.63

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Solution

The fourth proportional to 7,116.34, 9,820.49 and 3,929.63 is: 5,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.34 : 9,820.49 = 3,929.63 : x
  2. Step 2: Convert to fraction form
    7,116.34/9,820.49 = 3,929.63/x
  3. Step 3: Cross multiply
    7,116.34x = 9,820.49 × 3,929.63
  4. Step 4: Simplify right side
    7,116.34x = 38,590,872.47
  5. Step 5: Solve for x
    x = 38,590,872.47/7,116.34
  6. Step 6: Final answer
    x = 5,422.86

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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.