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Finding the Fourth Proportional to 9,530.16, 13,152.96 and 5,753.52

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Solution

The fourth proportional to 9,530.16, 13,152.96 and 5,753.52 is: 7,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.16 : 13,152.96 = 5,753.52 : x
  2. Step 2: Convert to fraction form
    9,530.16/13,152.96 = 5,753.52/x
  3. Step 3: Cross multiply
    9,530.16x = 13,152.96 × 5,753.52
  4. Step 4: Simplify right side
    9,530.16x = 75,675,818.42
  5. Step 5: Solve for x
    x = 75,675,818.42/9,530.16
  6. Step 6: Final answer
    x = 7,940.67

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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.