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Finding the Fourth Proportional to 6,908.25, 9,530.10 and 4,670.91

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Solution

The fourth proportional to 6,908.25, 9,530.10 and 4,670.91 is: 6,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.25 : 9,530.10 = 4,670.91 : x
  2. Step 2: Convert to fraction form
    6,908.25/9,530.10 = 4,670.91/x
  3. Step 3: Cross multiply
    6,908.25x = 9,530.10 × 4,670.91
  4. Step 4: Simplify right side
    6,908.25x = 44,514,239.39
  5. Step 5: Solve for x
    x = 44,514,239.39/6,908.25
  6. Step 6: Final answer
    x = 6,443.63

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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.