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Finding the Fourth Proportional to 9,709.50, 14,554.14 and 6,589.80

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Solution

The fourth proportional to 9,709.50, 14,554.14 and 6,589.80 is: 9,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.50 : 14,554.14 = 6,589.80 : x
  2. Step 2: Convert to fraction form
    9,709.50/14,554.14 = 6,589.80/x
  3. Step 3: Cross multiply
    9,709.50x = 14,554.14 × 6,589.80
  4. Step 4: Simplify right side
    9,709.50x = 95,908,871.77
  5. Step 5: Solve for x
    x = 95,908,871.77/9,709.50
  6. Step 6: Final answer
    x = 9,877.84

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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.