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Finding the Fourth Proportional to 9,124.29, 13,675.50 and 3,574.17

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Solution

The fourth proportional to 9,124.29, 13,675.50 and 3,574.17 is: 5,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.29 : 13,675.50 = 3,574.17 : x
  2. Step 2: Convert to fraction form
    9,124.29/13,675.50 = 3,574.17/x
  3. Step 3: Cross multiply
    9,124.29x = 13,675.50 × 3,574.17
  4. Step 4: Simplify right side
    9,124.29x = 48,878,561.84
  5. Step 5: Solve for x
    x = 48,878,561.84/9,124.29
  6. Step 6: Final answer
    x = 5,356.97

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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.