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Finding the Fourth Proportional to 10,298.63, 14,203.17 and 6,712.21

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Solution

The fourth proportional to 10,298.63, 14,203.17 and 6,712.21 is: 9,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.63 : 14,203.17 = 6,712.21 : x
  2. Step 2: Convert to fraction form
    10,298.63/14,203.17 = 6,712.21/x
  3. Step 3: Cross multiply
    10,298.63x = 14,203.17 × 6,712.21
  4. Step 4: Simplify right side
    10,298.63x = 95,334,624.20
  5. Step 5: Solve for x
    x = 95,334,624.20/10,298.63
  6. Step 6: Final answer
    x = 9,257.02

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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.