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Finding the Fourth Proportional to 9,393.24, 12,953.20 and 6,875.76

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Solution

The fourth proportional to 9,393.24, 12,953.20 and 6,875.76 is: 9,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.24 : 12,953.20 = 6,875.76 : x
  2. Step 2: Convert to fraction form
    9,393.24/12,953.20 = 6,875.76/x
  3. Step 3: Cross multiply
    9,393.24x = 12,953.20 × 6,875.76
  4. Step 4: Simplify right side
    9,393.24x = 89,063,094.43
  5. Step 5: Solve for x
    x = 89,063,094.43/9,393.24
  6. Step 6: Final answer
    x = 9,481.62

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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.