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Finding the Fourth Proportional to 9,577.50, 14,371.11 and 4,384.68

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Solution

The fourth proportional to 9,577.50, 14,371.11 and 4,384.68 is: 6,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.50 : 14,371.11 = 4,384.68 : x
  2. Step 2: Convert to fraction form
    9,577.50/14,371.11 = 4,384.68/x
  3. Step 3: Cross multiply
    9,577.50x = 14,371.11 × 4,384.68
  4. Step 4: Simplify right side
    9,577.50x = 63,012,718.59
  5. Step 5: Solve for x
    x = 63,012,718.59/9,577.50
  6. Step 6: Final answer
    x = 6,579.24

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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.