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Finding the Fourth Proportional to 9,586.08, 14,364 and 5,202.36

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Solution

The fourth proportional to 9,586.08, 14,364 and 5,202.36 is: 7,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.08 : 14,364 = 5,202.36 : x
  2. Step 2: Convert to fraction form
    9,586.08/14,364 = 5,202.36/x
  3. Step 3: Cross multiply
    9,586.08x = 14,364 × 5,202.36
  4. Step 4: Simplify right side
    9,586.08x = 74,726,699.04
  5. Step 5: Solve for x
    x = 74,726,699.04/9,586.08
  6. Step 6: Final answer
    x = 7,795.33

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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.