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Finding the Fourth Proportional to 6,430.89, 9,637.65 and 2,916.54

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Solution

The fourth proportional to 6,430.89, 9,637.65 and 2,916.54 is: 4,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.89 : 9,637.65 = 2,916.54 : x
  2. Step 2: Convert to fraction form
    6,430.89/9,637.65 = 2,916.54/x
  3. Step 3: Cross multiply
    6,430.89x = 9,637.65 × 2,916.54
  4. Step 4: Simplify right side
    6,430.89x = 28,108,591.73
  5. Step 5: Solve for x
    x = 28,108,591.73/6,430.89
  6. Step 6: Final answer
    x = 4,370.87

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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.