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Finding the Fourth Proportional to 10,303.92, 15,462.18 and 9,467.46

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Solution

The fourth proportional to 10,303.92, 15,462.18 and 9,467.46 is: 14,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.92 : 15,462.18 = 9,467.46 : x
  2. Step 2: Convert to fraction form
    10,303.92/15,462.18 = 9,467.46/x
  3. Step 3: Cross multiply
    10,303.92x = 15,462.18 × 9,467.46
  4. Step 4: Simplify right side
    10,303.92x = 146,387,570.66
  5. Step 5: Solve for x
    x = 146,387,570.66/10,303.92
  6. Step 6: Final answer
    x = 14,206.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.