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Finding the Fourth Proportional to 9,899.04, 14,850 and 2,972.64

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Solution

The fourth proportional to 9,899.04, 14,850 and 2,972.64 is: 4,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.04 : 14,850 = 2,972.64 : x
  2. Step 2: Convert to fraction form
    9,899.04/14,850 = 2,972.64/x
  3. Step 3: Cross multiply
    9,899.04x = 14,850 × 2,972.64
  4. Step 4: Simplify right side
    9,899.04x = 44,143,704
  5. Step 5: Solve for x
    x = 44,143,704/9,899.04
  6. Step 6: Final answer
    x = 4,459.39

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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.