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Finding the Fourth Proportional to 6,904, 9,530.48 and 4,668.96

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Solution

The fourth proportional to 6,904, 9,530.48 and 4,668.96 is: 6,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904 : 9,530.48 = 4,668.96 : x
  2. Step 2: Convert to fraction form
    6,904/9,530.48 = 4,668.96/x
  3. Step 3: Cross multiply
    6,904x = 9,530.48 × 4,668.96
  4. Step 4: Simplify right side
    6,904x = 44,497,429.90
  5. Step 5: Solve for x
    x = 44,497,429.90/6,904
  6. Step 6: Final answer
    x = 6,445.17

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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.