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Finding the Fourth Proportional to 9,561.16, 14,341.22 and 2,986.60

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Solution

The fourth proportional to 9,561.16, 14,341.22 and 2,986.60 is: 4,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.16 : 14,341.22 = 2,986.60 : x
  2. Step 2: Convert to fraction form
    9,561.16/14,341.22 = 2,986.60/x
  3. Step 3: Cross multiply
    9,561.16x = 14,341.22 × 2,986.60
  4. Step 4: Simplify right side
    9,561.16x = 42,831,487.65
  5. Step 5: Solve for x
    x = 42,831,487.65/9,561.16
  6. Step 6: Final answer
    x = 4,479.74

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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.