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Finding the Fourth Proportional to 9,562, 13,189.84 and 6,019.06

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Solution

The fourth proportional to 9,562, 13,189.84 and 6,019.06 is: 8,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562 : 13,189.84 = 6,019.06 : x
  2. Step 2: Convert to fraction form
    9,562/13,189.84 = 6,019.06/x
  3. Step 3: Cross multiply
    9,562x = 13,189.84 × 6,019.06
  4. Step 4: Simplify right side
    9,562x = 79,390,438.35
  5. Step 5: Solve for x
    x = 79,390,438.35/9,562
  6. Step 6: Final answer
    x = 8,302.70

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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.