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Finding the Fourth Proportional to 6,290.16, 9,420.86 and 3,005.56

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Solution

The fourth proportional to 6,290.16, 9,420.86 and 3,005.56 is: 4,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.16 : 9,420.86 = 3,005.56 : x
  2. Step 2: Convert to fraction form
    6,290.16/9,420.86 = 3,005.56/x
  3. Step 3: Cross multiply
    6,290.16x = 9,420.86 × 3,005.56
  4. Step 4: Simplify right side
    6,290.16x = 28,314,959.98
  5. Step 5: Solve for x
    x = 28,314,959.98/6,290.16
  6. Step 6: Final answer
    x = 4,501.47

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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.