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Finding the Fourth Proportional to 9,420.65, 14,131.67 and 2,847.35

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Solution

The fourth proportional to 9,420.65, 14,131.67 and 2,847.35 is: 4,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.65 : 14,131.67 = 2,847.35 : x
  2. Step 2: Convert to fraction form
    9,420.65/14,131.67 = 2,847.35/x
  3. Step 3: Cross multiply
    9,420.65x = 14,131.67 × 2,847.35
  4. Step 4: Simplify right side
    9,420.65x = 40,237,831.67
  5. Step 5: Solve for x
    x = 40,237,831.67/9,420.65
  6. Step 6: Final answer
    x = 4,271.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.