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Finding the Fourth Proportional to 9,307.94, 13,961.95 and 2,288.01

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Solution

The fourth proportional to 9,307.94, 13,961.95 and 2,288.01 is: 3,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.94 : 13,961.95 = 2,288.01 : x
  2. Step 2: Convert to fraction form
    9,307.94/13,961.95 = 2,288.01/x
  3. Step 3: Cross multiply
    9,307.94x = 13,961.95 × 2,288.01
  4. Step 4: Simplify right side
    9,307.94x = 31,945,075.50
  5. Step 5: Solve for x
    x = 31,945,075.50/9,307.94
  6. Step 6: Final answer
    x = 3,432.02

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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.