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Finding the Fourth Proportional to 9,895.13, 14,843.15 and 5,509.28

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Solution

The fourth proportional to 9,895.13, 14,843.15 and 5,509.28 is: 8,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.13 : 14,843.15 = 5,509.28 : x
  2. Step 2: Convert to fraction form
    9,895.13/14,843.15 = 5,509.28/x
  3. Step 3: Cross multiply
    9,895.13x = 14,843.15 × 5,509.28
  4. Step 4: Simplify right side
    9,895.13x = 81,775,041.89
  5. Step 5: Solve for x
    x = 81,775,041.89/9,895.13
  6. Step 6: Final answer
    x = 8,264.17

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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.