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Finding the Fourth Proportional to 9,912.87, 14,875.07 and 3,677.28

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Solution

The fourth proportional to 9,912.87, 14,875.07 and 3,677.28 is: 5,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.87 : 14,875.07 = 3,677.28 : x
  2. Step 2: Convert to fraction form
    9,912.87/14,875.07 = 3,677.28/x
  3. Step 3: Cross multiply
    9,912.87x = 14,875.07 × 3,677.28
  4. Step 4: Simplify right side
    9,912.87x = 54,699,779.02
  5. Step 5: Solve for x
    x = 54,699,779.02/9,912.87
  6. Step 6: Final answer
    x = 5,518.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.