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Finding the Fourth Proportional to 9,633.87, 14,430.38 and 6,290.30

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Solution

The fourth proportional to 9,633.87, 14,430.38 and 6,290.30 is: 9,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.87 : 14,430.38 = 6,290.30 : x
  2. Step 2: Convert to fraction form
    9,633.87/14,430.38 = 6,290.30/x
  3. Step 3: Cross multiply
    9,633.87x = 14,430.38 × 6,290.30
  4. Step 4: Simplify right side
    9,633.87x = 90,771,423.94
  5. Step 5: Solve for x
    x = 90,771,423.94/9,633.87
  6. Step 6: Final answer
    x = 9,422.11

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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.