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Finding the Fourth Proportional to 9,493.30, 14,256.15 and 9,201.70

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Solution

The fourth proportional to 9,493.30, 14,256.15 and 9,201.70 is: 13,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.30 : 14,256.15 = 9,201.70 : x
  2. Step 2: Convert to fraction form
    9,493.30/14,256.15 = 9,201.70/x
  3. Step 3: Cross multiply
    9,493.30x = 14,256.15 × 9,201.70
  4. Step 4: Simplify right side
    9,493.30x = 131,180,815.46
  5. Step 5: Solve for x
    x = 131,180,815.46/9,493.30
  6. Step 6: Final answer
    x = 13,818.25

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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.