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Finding the Fourth Proportional to 9,652.06, 14,473.20 and 4,714.30

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Solution

The fourth proportional to 9,652.06, 14,473.20 and 4,714.30 is: 7,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.06 : 14,473.20 = 4,714.30 : x
  2. Step 2: Convert to fraction form
    9,652.06/14,473.20 = 4,714.30/x
  3. Step 3: Cross multiply
    9,652.06x = 14,473.20 × 4,714.30
  4. Step 4: Simplify right side
    9,652.06x = 68,231,006.76
  5. Step 5: Solve for x
    x = 68,231,006.76/9,652.06
  6. Step 6: Final answer
    x = 7,069.06

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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.