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Finding the Fourth Proportional to 9,644.36, 14,468.72 and 3,070.92

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Solution

The fourth proportional to 9,644.36, 14,468.72 and 3,070.92 is: 4,607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.36 : 14,468.72 = 3,070.92 : x
  2. Step 2: Convert to fraction form
    9,644.36/14,468.72 = 3,070.92/x
  3. Step 3: Cross multiply
    9,644.36x = 14,468.72 × 3,070.92
  4. Step 4: Simplify right side
    9,644.36x = 44,432,281.62
  5. Step 5: Solve for x
    x = 44,432,281.62/9,644.36
  6. Step 6: Final answer
    x = 4,607.07

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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.