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Finding the Fourth Proportional to 9,574.28, 14,356.34 and 3,725

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Solution

The fourth proportional to 9,574.28, 14,356.34 and 3,725 is: 5,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.28 : 14,356.34 = 3,725 : x
  2. Step 2: Convert to fraction form
    9,574.28/14,356.34 = 3,725/x
  3. Step 3: Cross multiply
    9,574.28x = 14,356.34 × 3,725
  4. Step 4: Simplify right side
    9,574.28x = 53,477,366.50
  5. Step 5: Solve for x
    x = 53,477,366.50/9,574.28
  6. Step 6: Final answer
    x = 5,585.52

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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.