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Finding the Fourth Proportional to 6,429.09, 8,868.65 and 4,657.62

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Solution

The fourth proportional to 6,429.09, 8,868.65 and 4,657.62 is: 6,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.09 : 8,868.65 = 4,657.62 : x
  2. Step 2: Convert to fraction form
    6,429.09/8,868.65 = 4,657.62/x
  3. Step 3: Cross multiply
    6,429.09x = 8,868.65 × 4,657.62
  4. Step 4: Simplify right side
    6,429.09x = 41,306,778.32
  5. Step 5: Solve for x
    x = 41,306,778.32/6,429.09
  6. Step 6: Final answer
    x = 6,424.98

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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.