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Finding the Fourth Proportional to 9,400.68, 14,101.56 and 2,475

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Solution

The fourth proportional to 9,400.68, 14,101.56 and 2,475 is: 3,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.68 : 14,101.56 = 2,475 : x
  2. Step 2: Convert to fraction form
    9,400.68/14,101.56 = 2,475/x
  3. Step 3: Cross multiply
    9,400.68x = 14,101.56 × 2,475
  4. Step 4: Simplify right side
    9,400.68x = 34,901,361
  5. Step 5: Solve for x
    x = 34,901,361/9,400.68
  6. Step 6: Final answer
    x = 3,712.64

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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.