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Finding the Fourth Proportional to 6,851.45, 9,455.80 and 5,699.61

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Solution

The fourth proportional to 6,851.45, 9,455.80 and 5,699.61 is: 7,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.45 : 9,455.80 = 5,699.61 : x
  2. Step 2: Convert to fraction form
    6,851.45/9,455.80 = 5,699.61/x
  3. Step 3: Cross multiply
    6,851.45x = 9,455.80 × 5,699.61
  4. Step 4: Simplify right side
    6,851.45x = 53,894,334.35
  5. Step 5: Solve for x
    x = 53,894,334.35/6,851.45
  6. Step 6: Final answer
    x = 7,866.12

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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.