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Finding the Fourth Proportional to 9,487.42, 14,239.88 and 4,810.71

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Solution

The fourth proportional to 9,487.42, 14,239.88 and 4,810.71 is: 7,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.42 : 14,239.88 = 4,810.71 : x
  2. Step 2: Convert to fraction form
    9,487.42/14,239.88 = 4,810.71/x
  3. Step 3: Cross multiply
    9,487.42x = 14,239.88 × 4,810.71
  4. Step 4: Simplify right side
    9,487.42x = 68,503,933.11
  5. Step 5: Solve for x
    x = 68,503,933.11/9,487.42
  6. Step 6: Final answer
    x = 7,220.50

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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.