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Finding the Fourth Proportional to 10,429.58, 14,393.03 and 6,450.62

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Solution

The fourth proportional to 10,429.58, 14,393.03 and 6,450.62 is: 8,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.58 : 14,393.03 = 6,450.62 : x
  2. Step 2: Convert to fraction form
    10,429.58/14,393.03 = 6,450.62/x
  3. Step 3: Cross multiply
    10,429.58x = 14,393.03 × 6,450.62
  4. Step 4: Simplify right side
    10,429.58x = 92,843,967.18
  5. Step 5: Solve for x
    x = 92,843,967.18/10,429.58
  6. Step 6: Final answer
    x = 8,901.99

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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.