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Finding the Fourth Proportional to 9,258, 13,887.72 and 3,102

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Solution

The fourth proportional to 9,258, 13,887.72 and 3,102 is: 4,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258 : 13,887.72 = 3,102 : x
  2. Step 2: Convert to fraction form
    9,258/13,887.72 = 3,102/x
  3. Step 3: Cross multiply
    9,258x = 13,887.72 × 3,102
  4. Step 4: Simplify right side
    9,258x = 43,079,707.44
  5. Step 5: Solve for x
    x = 43,079,707.44/9,258
  6. Step 6: Final answer
    x = 4,653.24

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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.