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Finding the Fourth Proportional to 6,290.19, 9,430.43 and 5,748.30

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Solution

The fourth proportional to 6,290.19, 9,430.43 and 5,748.30 is: 8,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.19 : 9,430.43 = 5,748.30 : x
  2. Step 2: Convert to fraction form
    6,290.19/9,430.43 = 5,748.30/x
  3. Step 3: Cross multiply
    6,290.19x = 9,430.43 × 5,748.30
  4. Step 4: Simplify right side
    6,290.19x = 54,208,912.03
  5. Step 5: Solve for x
    x = 54,208,912.03/6,290.19
  6. Step 6: Final answer
    x = 8,618.01

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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.