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Finding the Fourth Proportional to 9,804.13, 14,708.03 and 3,230.78

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Solution

The fourth proportional to 9,804.13, 14,708.03 and 3,230.78 is: 4,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.13 : 14,708.03 = 3,230.78 : x
  2. Step 2: Convert to fraction form
    9,804.13/14,708.03 = 3,230.78/x
  3. Step 3: Cross multiply
    9,804.13x = 14,708.03 × 3,230.78
  4. Step 4: Simplify right side
    9,804.13x = 47,518,319.47
  5. Step 5: Solve for x
    x = 47,518,319.47/9,804.13
  6. Step 6: Final answer
    x = 4,846.77

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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.