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Finding the Fourth Proportional to 9,833.22, 13,572.81 and 6,430.77

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Solution

The fourth proportional to 9,833.22, 13,572.81 and 6,430.77 is: 8,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.22 : 13,572.81 = 6,430.77 : x
  2. Step 2: Convert to fraction form
    9,833.22/13,572.81 = 6,430.77/x
  3. Step 3: Cross multiply
    9,833.22x = 13,572.81 × 6,430.77
  4. Step 4: Simplify right side
    9,833.22x = 87,283,619.36
  5. Step 5: Solve for x
    x = 87,283,619.36/9,833.22
  6. Step 6: Final answer
    x = 8,876.40

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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.