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Finding the Fourth Proportional to 7,046.18, 9,714.90 and 4,523.84

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Solution

The fourth proportional to 7,046.18, 9,714.90 and 4,523.84 is: 6,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.18 : 9,714.90 = 4,523.84 : x
  2. Step 2: Convert to fraction form
    7,046.18/9,714.90 = 4,523.84/x
  3. Step 3: Cross multiply
    7,046.18x = 9,714.90 × 4,523.84
  4. Step 4: Simplify right side
    7,046.18x = 43,948,653.22
  5. Step 5: Solve for x
    x = 43,948,653.22/7,046.18
  6. Step 6: Final answer
    x = 6,237.23

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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.