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Finding the Fourth Proportional to 7,046.69, 9,714.08 and 5,365.17

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Solution

The fourth proportional to 7,046.69, 9,714.08 and 5,365.17 is: 7,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.69 : 9,714.08 = 5,365.17 : x
  2. Step 2: Convert to fraction form
    7,046.69/9,714.08 = 5,365.17/x
  3. Step 3: Cross multiply
    7,046.69x = 9,714.08 × 5,365.17
  4. Step 4: Simplify right side
    7,046.69x = 52,117,704.01
  5. Step 5: Solve for x
    x = 52,117,704.01/7,046.69
  6. Step 6: Final answer
    x = 7,396.06

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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.