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Finding the Fourth Proportional to 6,370.04, 9,530.34 and 5,584.13

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Solution

The fourth proportional to 6,370.04, 9,530.34 and 5,584.13 is: 8,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.04 : 9,530.34 = 5,584.13 : x
  2. Step 2: Convert to fraction form
    6,370.04/9,530.34 = 5,584.13/x
  3. Step 3: Cross multiply
    6,370.04x = 9,530.34 × 5,584.13
  4. Step 4: Simplify right side
    6,370.04x = 53,218,657.50
  5. Step 5: Solve for x
    x = 53,218,657.50/6,370.04
  6. Step 6: Final answer
    x = 8,354.52

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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.