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Finding the Fourth Proportional to 9,860.04, 14,786.19 and 4,014.54

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Solution

The fourth proportional to 9,860.04, 14,786.19 and 4,014.54 is: 6,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.04 : 14,786.19 = 4,014.54 : x
  2. Step 2: Convert to fraction form
    9,860.04/14,786.19 = 4,014.54/x
  3. Step 3: Cross multiply
    9,860.04x = 14,786.19 × 4,014.54
  4. Step 4: Simplify right side
    9,860.04x = 59,359,751.20
  5. Step 5: Solve for x
    x = 59,359,751.20/9,860.04
  6. Step 6: Final answer
    x = 6,020.23

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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.