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Finding the Fourth Proportional to 9,726, 14,590.44 and 4,529.04

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Solution

The fourth proportional to 9,726, 14,590.44 and 4,529.04 is: 6,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726 : 14,590.44 = 4,529.04 : x
  2. Step 2: Convert to fraction form
    9,726/14,590.44 = 4,529.04/x
  3. Step 3: Cross multiply
    9,726x = 14,590.44 × 4,529.04
  4. Step 4: Simplify right side
    9,726x = 66,080,686.38
  5. Step 5: Solve for x
    x = 66,080,686.38/9,726
  6. Step 6: Final answer
    x = 6,794.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.