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Finding the Fourth Proportional to 9,611.95, 14,391.87 and 4,985.23

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Solution

The fourth proportional to 9,611.95, 14,391.87 and 4,985.23 is: 7,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.95 : 14,391.87 = 4,985.23 : x
  2. Step 2: Convert to fraction form
    9,611.95/14,391.87 = 4,985.23/x
  3. Step 3: Cross multiply
    9,611.95x = 14,391.87 × 4,985.23
  4. Step 4: Simplify right side
    9,611.95x = 71,746,782.08
  5. Step 5: Solve for x
    x = 71,746,782.08/9,611.95
  6. Step 6: Final answer
    x = 7,464.33

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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.