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Finding the Fourth Proportional to 6,284.16, 9,430.56 and 3,208.32

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Solution

The fourth proportional to 6,284.16, 9,430.56 and 3,208.32 is: 4,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.16 : 9,430.56 = 3,208.32 : x
  2. Step 2: Convert to fraction form
    6,284.16/9,430.56 = 3,208.32/x
  3. Step 3: Cross multiply
    6,284.16x = 9,430.56 × 3,208.32
  4. Step 4: Simplify right side
    6,284.16x = 30,256,254.26
  5. Step 5: Solve for x
    x = 30,256,254.26/6,284.16
  6. Step 6: Final answer
    x = 4,814.69

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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.