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Finding the Fourth Proportional to 6,188.04, 9,282.60 and 3,071.16

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Solution

The fourth proportional to 6,188.04, 9,282.60 and 3,071.16 is: 4,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.04 : 9,282.60 = 3,071.16 : x
  2. Step 2: Convert to fraction form
    6,188.04/9,282.60 = 3,071.16/x
  3. Step 3: Cross multiply
    6,188.04x = 9,282.60 × 3,071.16
  4. Step 4: Simplify right side
    6,188.04x = 28,508,349.82
  5. Step 5: Solve for x
    x = 28,508,349.82/6,188.04
  6. Step 6: Final answer
    x = 4,607.01

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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.