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Finding the Fourth Proportional to 6,354.48, 9,530.91 and 1,971.84

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Solution

The fourth proportional to 6,354.48, 9,530.91 and 1,971.84 is: 2,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.48 : 9,530.91 = 1,971.84 : x
  2. Step 2: Convert to fraction form
    6,354.48/9,530.91 = 1,971.84/x
  3. Step 3: Cross multiply
    6,354.48x = 9,530.91 × 1,971.84
  4. Step 4: Simplify right side
    6,354.48x = 18,793,429.57
  5. Step 5: Solve for x
    x = 18,793,429.57/6,354.48
  6. Step 6: Final answer
    x = 2,957.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.