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Finding the Fourth Proportional to 9,643.93, 14,463.38 and 4,094.42

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Solution

The fourth proportional to 9,643.93, 14,463.38 and 4,094.42 is: 6,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.93 : 14,463.38 = 4,094.42 : x
  2. Step 2: Convert to fraction form
    9,643.93/14,463.38 = 4,094.42/x
  3. Step 3: Cross multiply
    9,643.93x = 14,463.38 × 4,094.42
  4. Step 4: Simplify right side
    9,643.93x = 59,219,090.26
  5. Step 5: Solve for x
    x = 59,219,090.26/9,643.93
  6. Step 6: Final answer
    x = 6,140.56

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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.