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Finding the Fourth Proportional to 9,476.74, 14,185.35 and 7,817.86

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Solution

The fourth proportional to 9,476.74, 14,185.35 and 7,817.86 is: 11,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.74 : 14,185.35 = 7,817.86 : x
  2. Step 2: Convert to fraction form
    9,476.74/14,185.35 = 7,817.86/x
  3. Step 3: Cross multiply
    9,476.74x = 14,185.35 × 7,817.86
  4. Step 4: Simplify right side
    9,476.74x = 110,899,080.35
  5. Step 5: Solve for x
    x = 110,899,080.35/9,476.74
  6. Step 6: Final answer
    x = 11,702.24

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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.