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Finding the Fourth Proportional to 9,487.50, 14,235.03 and 4,804.98

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Solution

The fourth proportional to 9,487.50, 14,235.03 and 4,804.98 is: 7,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.50 : 14,235.03 = 4,804.98 : x
  2. Step 2: Convert to fraction form
    9,487.50/14,235.03 = 4,804.98/x
  3. Step 3: Cross multiply
    9,487.50x = 14,235.03 × 4,804.98
  4. Step 4: Simplify right side
    9,487.50x = 68,399,034.45
  5. Step 5: Solve for x
    x = 68,399,034.45/9,487.50
  6. Step 6: Final answer
    x = 7,209.38

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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.