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Finding the Fourth Proportional to 6,698.54, 9,243.50 and 3,714.47

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Solution

The fourth proportional to 6,698.54, 9,243.50 and 3,714.47 is: 5,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.54 : 9,243.50 = 3,714.47 : x
  2. Step 2: Convert to fraction form
    6,698.54/9,243.50 = 3,714.47/x
  3. Step 3: Cross multiply
    6,698.54x = 9,243.50 × 3,714.47
  4. Step 4: Simplify right side
    6,698.54x = 34,334,666.51
  5. Step 5: Solve for x
    x = 34,334,666.51/6,698.54
  6. Step 6: Final answer
    x = 5,125.69

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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.