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Finding the Fourth Proportional to 9,502.38, 14,256 and 7,670.16

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Solution

The fourth proportional to 9,502.38, 14,256 and 7,670.16 is: 11,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.38 : 14,256 = 7,670.16 : x
  2. Step 2: Convert to fraction form
    9,502.38/14,256 = 7,670.16/x
  3. Step 3: Cross multiply
    9,502.38x = 14,256 × 7,670.16
  4. Step 4: Simplify right side
    9,502.38x = 109,345,800.96
  5. Step 5: Solve for x
    x = 109,345,800.96/9,502.38
  6. Step 6: Final answer
    x = 11,507.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.