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Finding the Fourth Proportional to 9,552, 13,181.76 and 5,826.72

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Solution

The fourth proportional to 9,552, 13,181.76 and 5,826.72 is: 8,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552 : 13,181.76 = 5,826.72 : x
  2. Step 2: Convert to fraction form
    9,552/13,181.76 = 5,826.72/x
  3. Step 3: Cross multiply
    9,552x = 13,181.76 × 5,826.72
  4. Step 4: Simplify right side
    9,552x = 76,806,424.63
  5. Step 5: Solve for x
    x = 76,806,424.63/9,552
  6. Step 6: Final answer
    x = 8,040.87

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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.