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Finding the Fourth Proportional to 9,685.80, 14,526.12 and 4,136.40

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Solution

The fourth proportional to 9,685.80, 14,526.12 and 4,136.40 is: 6,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.80 : 14,526.12 = 4,136.40 : x
  2. Step 2: Convert to fraction form
    9,685.80/14,526.12 = 4,136.40/x
  3. Step 3: Cross multiply
    9,685.80x = 14,526.12 × 4,136.40
  4. Step 4: Simplify right side
    9,685.80x = 60,085,842.77
  5. Step 5: Solve for x
    x = 60,085,842.77/9,685.80
  6. Step 6: Final answer
    x = 6,203.50

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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.