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Finding the Fourth Proportional to 9,586.19, 14,366 and 7,244.28

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Solution

The fourth proportional to 9,586.19, 14,366 and 7,244.28 is: 10,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.19 : 14,366 = 7,244.28 : x
  2. Step 2: Convert to fraction form
    9,586.19/14,366 = 7,244.28/x
  3. Step 3: Cross multiply
    9,586.19x = 14,366 × 7,244.28
  4. Step 4: Simplify right side
    9,586.19x = 104,071,326.48
  5. Step 5: Solve for x
    x = 104,071,326.48/9,586.19
  6. Step 6: Final answer
    x = 10,856.38

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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.