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Finding the Fourth Proportional to 9,638.57, 14,457.86 and 3,064.76

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Solution

The fourth proportional to 9,638.57, 14,457.86 and 3,064.76 is: 4,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.57 : 14,457.86 = 3,064.76 : x
  2. Step 2: Convert to fraction form
    9,638.57/14,457.86 = 3,064.76/x
  3. Step 3: Cross multiply
    9,638.57x = 14,457.86 × 3,064.76
  4. Step 4: Simplify right side
    9,638.57x = 44,309,871.01
  5. Step 5: Solve for x
    x = 44,309,871.01/9,638.57
  6. Step 6: Final answer
    x = 4,597.14

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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.