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Finding the Fourth Proportional to 9,655.35, 14,466.83 and 4,714.35

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Solution

The fourth proportional to 9,655.35, 14,466.83 and 4,714.35 is: 7,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.35 : 14,466.83 = 4,714.35 : x
  2. Step 2: Convert to fraction form
    9,655.35/14,466.83 = 4,714.35/x
  3. Step 3: Cross multiply
    9,655.35x = 14,466.83 × 4,714.35
  4. Step 4: Simplify right side
    9,655.35x = 68,201,676.44
  5. Step 5: Solve for x
    x = 68,201,676.44/9,655.35
  6. Step 6: Final answer
    x = 7,063.62

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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.