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Finding the Fourth Proportional to 9,763.86, 14,649.21 and 7,097.94

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Solution

The fourth proportional to 9,763.86, 14,649.21 and 7,097.94 is: 10,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.86 : 14,649.21 = 7,097.94 : x
  2. Step 2: Convert to fraction form
    9,763.86/14,649.21 = 7,097.94/x
  3. Step 3: Cross multiply
    9,763.86x = 14,649.21 × 7,097.94
  4. Step 4: Simplify right side
    9,763.86x = 103,979,213.63
  5. Step 5: Solve for x
    x = 103,979,213.63/9,763.86
  6. Step 6: Final answer
    x = 10,649.40

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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.