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Finding the Fourth Proportional to 9,228.64, 12,735.60 and 5,036.64

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Solution

The fourth proportional to 9,228.64, 12,735.60 and 5,036.64 is: 6,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.64 : 12,735.60 = 5,036.64 : x
  2. Step 2: Convert to fraction form
    9,228.64/12,735.60 = 5,036.64/x
  3. Step 3: Cross multiply
    9,228.64x = 12,735.60 × 5,036.64
  4. Step 4: Simplify right side
    9,228.64x = 64,144,632.38
  5. Step 5: Solve for x
    x = 64,144,632.38/9,228.64
  6. Step 6: Final answer
    x = 6,950.61

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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.