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Finding the Fourth Proportional to 6,895.17, 9,504.27 and 4,656.33

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Solution

The fourth proportional to 6,895.17, 9,504.27 and 4,656.33 is: 6,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.17 : 9,504.27 = 4,656.33 : x
  2. Step 2: Convert to fraction form
    6,895.17/9,504.27 = 4,656.33/x
  3. Step 3: Cross multiply
    6,895.17x = 9,504.27 × 4,656.33
  4. Step 4: Simplify right side
    6,895.17x = 44,255,017.53
  5. Step 5: Solve for x
    x = 44,255,017.53/6,895.17
  6. Step 6: Final answer
    x = 6,418.26

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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.