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Finding the Fourth Proportional to 9,125.42, 13,688.04 and 2,969.42

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Solution

The fourth proportional to 9,125.42, 13,688.04 and 2,969.42 is: 4,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.42 : 13,688.04 = 2,969.42 : x
  2. Step 2: Convert to fraction form
    9,125.42/13,688.04 = 2,969.42/x
  3. Step 3: Cross multiply
    9,125.42x = 13,688.04 × 2,969.42
  4. Step 4: Simplify right side
    9,125.42x = 40,645,539.74
  5. Step 5: Solve for x
    x = 40,645,539.74/9,125.42
  6. Step 6: Final answer
    x = 4,454.10

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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.