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Finding the Fourth Proportional to 9,611.76, 14,426.16 and 4,935.04

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Solution

The fourth proportional to 9,611.76, 14,426.16 and 4,935.04 is: 7,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.76 : 14,426.16 = 4,935.04 : x
  2. Step 2: Convert to fraction form
    9,611.76/14,426.16 = 4,935.04/x
  3. Step 3: Cross multiply
    9,611.76x = 14,426.16 × 4,935.04
  4. Step 4: Simplify right side
    9,611.76x = 71,193,676.65
  5. Step 5: Solve for x
    x = 71,193,676.65/9,611.76
  6. Step 6: Final answer
    x = 7,406.93

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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.