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Finding the Fourth Proportional to 10,430.67, 14,389.92 and 6,444.87

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Solution

The fourth proportional to 10,430.67, 14,389.92 and 6,444.87 is: 8,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.67 : 14,389.92 = 6,444.87 : x
  2. Step 2: Convert to fraction form
    10,430.67/14,389.92 = 6,444.87/x
  3. Step 3: Cross multiply
    10,430.67x = 14,389.92 × 6,444.87
  4. Step 4: Simplify right side
    10,430.67x = 92,741,163.71
  5. Step 5: Solve for x
    x = 92,741,163.71/10,430.67
  6. Step 6: Final answer
    x = 8,891.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.