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Finding the Fourth Proportional to 6,995, 9,653.10 and 3,851.26

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Solution

The fourth proportional to 6,995, 9,653.10 and 3,851.26 is: 5,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995 : 9,653.10 = 3,851.26 : x
  2. Step 2: Convert to fraction form
    6,995/9,653.10 = 3,851.26/x
  3. Step 3: Cross multiply
    6,995x = 9,653.10 × 3,851.26
  4. Step 4: Simplify right side
    6,995x = 37,176,597.91
  5. Step 5: Solve for x
    x = 37,176,597.91/6,995
  6. Step 6: Final answer
    x = 5,314.74

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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.