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Finding the Fourth Proportional to 9,872.63, 14,808.96 and 4,937.30

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Solution

The fourth proportional to 9,872.63, 14,808.96 and 4,937.30 is: 7,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.63 : 14,808.96 = 4,937.30 : x
  2. Step 2: Convert to fraction form
    9,872.63/14,808.96 = 4,937.30/x
  3. Step 3: Cross multiply
    9,872.63x = 14,808.96 × 4,937.30
  4. Step 4: Simplify right side
    9,872.63x = 73,116,278.21
  5. Step 5: Solve for x
    x = 73,116,278.21/9,872.63
  6. Step 6: Final answer
    x = 7,405.96

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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.