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Finding the Fourth Proportional to 9,644.00, 14,466.47 and 3,070.04

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Solution

The fourth proportional to 9,644.00, 14,466.47 and 3,070.04 is: 4,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.00 : 14,466.47 = 3,070.04 : x
  2. Step 2: Convert to fraction form
    9,644.00/14,466.47 = 3,070.04/x
  3. Step 3: Cross multiply
    9,644.00x = 14,466.47 × 3,070.04
  4. Step 4: Simplify right side
    9,644.00x = 44,412,553.88
  5. Step 5: Solve for x
    x = 44,412,553.88/9,644.00
  6. Step 6: Final answer
    x = 4,605.20

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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.