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Finding the Fourth Proportional to 9,967.68, 14,943.03 and 4,418.00

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Solution

The fourth proportional to 9,967.68, 14,943.03 and 4,418.00 is: 6,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.68 : 14,943.03 = 4,418.00 : x
  2. Step 2: Convert to fraction form
    9,967.68/14,943.03 = 4,418.00/x
  3. Step 3: Cross multiply
    9,967.68x = 14,943.03 × 4,418.00
  4. Step 4: Simplify right side
    9,967.68x = 66,018,271.29
  5. Step 5: Solve for x
    x = 66,018,271.29/9,967.68
  6. Step 6: Final answer
    x = 6,623.23

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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.