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Finding the Fourth Proportional to 6,291.64, 9,430.98 and 3,369.16

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Solution

The fourth proportional to 6,291.64, 9,430.98 and 3,369.16 is: 5,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.64 : 9,430.98 = 3,369.16 : x
  2. Step 2: Convert to fraction form
    6,291.64/9,430.98 = 3,369.16/x
  3. Step 3: Cross multiply
    6,291.64x = 9,430.98 × 3,369.16
  4. Step 4: Simplify right side
    6,291.64x = 31,774,480.58
  5. Step 5: Solve for x
    x = 31,774,480.58/6,291.64
  6. Step 6: Final answer
    x = 5,050.27

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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.