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Finding the Fourth Proportional to 6,430.47, 8,876.72 and 4,661.73

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Solution

The fourth proportional to 6,430.47, 8,876.72 and 4,661.73 is: 6,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.47 : 8,876.72 = 4,661.73 : x
  2. Step 2: Convert to fraction form
    6,430.47/8,876.72 = 4,661.73/x
  3. Step 3: Cross multiply
    6,430.47x = 8,876.72 × 4,661.73
  4. Step 4: Simplify right side
    6,430.47x = 41,380,883.58
  5. Step 5: Solve for x
    x = 41,380,883.58/6,430.47
  6. Step 6: Final answer
    x = 6,435.13

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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.