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Finding the Fourth Proportional to 9,638.70, 14,455.61 and 4,636.14

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Solution

The fourth proportional to 9,638.70, 14,455.61 and 4,636.14 is: 6,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.70 : 14,455.61 = 4,636.14 : x
  2. Step 2: Convert to fraction form
    9,638.70/14,455.61 = 4,636.14/x
  3. Step 3: Cross multiply
    9,638.70x = 14,455.61 × 4,636.14
  4. Step 4: Simplify right side
    9,638.70x = 67,018,231.75
  5. Step 5: Solve for x
    x = 67,018,231.75/9,638.70
  6. Step 6: Final answer
    x = 6,953.04

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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.