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Finding the Fourth Proportional to 9,638.02, 14,457.30 and 3,064.60

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Solution

The fourth proportional to 9,638.02, 14,457.30 and 3,064.60 is: 4,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.02 : 14,457.30 = 3,064.60 : x
  2. Step 2: Convert to fraction form
    9,638.02/14,457.30 = 3,064.60/x
  3. Step 3: Cross multiply
    9,638.02x = 14,457.30 × 3,064.60
  4. Step 4: Simplify right side
    9,638.02x = 44,305,841.58
  5. Step 5: Solve for x
    x = 44,305,841.58/9,638.02
  6. Step 6: Final answer
    x = 4,596.99

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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.