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Finding the Fourth Proportional to 9,501.28, 14,254.80 and 6,733.32

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Solution

The fourth proportional to 9,501.28, 14,254.80 and 6,733.32 is: 10,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.28 : 14,254.80 = 6,733.32 : x
  2. Step 2: Convert to fraction form
    9,501.28/14,254.80 = 6,733.32/x
  3. Step 3: Cross multiply
    9,501.28x = 14,254.80 × 6,733.32
  4. Step 4: Simplify right side
    9,501.28x = 95,982,129.94
  5. Step 5: Solve for x
    x = 95,982,129.94/9,501.28
  6. Step 6: Final answer
    x = 10,102.02

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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.