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Finding the Fourth Proportional to 9,528.96, 13,156.53 and 7,286.93

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Solution

The fourth proportional to 9,528.96, 13,156.53 and 7,286.93 is: 10,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.96 : 13,156.53 = 7,286.93 : x
  2. Step 2: Convert to fraction form
    9,528.96/13,156.53 = 7,286.93/x
  3. Step 3: Cross multiply
    9,528.96x = 13,156.53 × 7,286.93
  4. Step 4: Simplify right side
    9,528.96x = 95,870,669.38
  5. Step 5: Solve for x
    x = 95,870,669.38/9,528.96
  6. Step 6: Final answer
    x = 10,060.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.