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Finding the Fourth Proportional to 9,478.93, 14,218.40 and 3,239.00

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Solution

The fourth proportional to 9,478.93, 14,218.40 and 3,239.00 is: 4,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.93 : 14,218.40 = 3,239.00 : x
  2. Step 2: Convert to fraction form
    9,478.93/14,218.40 = 3,239.00/x
  3. Step 3: Cross multiply
    9,478.93x = 14,218.40 × 3,239.00
  4. Step 4: Simplify right side
    9,478.93x = 46,053,310.31
  5. Step 5: Solve for x
    x = 46,053,310.31/9,478.93
  6. Step 6: Final answer
    x = 4,858.49

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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.