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Finding the Fourth Proportional to 9,653.42, 14,478.24 and 3,077.84

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Solution

The fourth proportional to 9,653.42, 14,478.24 and 3,077.84 is: 4,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.42 : 14,478.24 = 3,077.84 : x
  2. Step 2: Convert to fraction form
    9,653.42/14,478.24 = 3,077.84/x
  3. Step 3: Cross multiply
    9,653.42x = 14,478.24 × 3,077.84
  4. Step 4: Simplify right side
    9,653.42x = 44,561,706.20
  5. Step 5: Solve for x
    x = 44,561,706.20/9,653.42
  6. Step 6: Final answer
    x = 4,616.16

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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.