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Finding the Fourth Proportional to 9,577.77, 14,363.01 and 4,380

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Solution

The fourth proportional to 9,577.77, 14,363.01 and 4,380 is: 6,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.77 : 14,363.01 = 4,380 : x
  2. Step 2: Convert to fraction form
    9,577.77/14,363.01 = 4,380/x
  3. Step 3: Cross multiply
    9,577.77x = 14,363.01 × 4,380
  4. Step 4: Simplify right side
    9,577.77x = 62,909,983.80
  5. Step 5: Solve for x
    x = 62,909,983.80/9,577.77
  6. Step 6: Final answer
    x = 6,568.33

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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.