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Finding the Fourth Proportional to 9,574.42, 14,365.95 and 4,891.54

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Solution

The fourth proportional to 9,574.42, 14,365.95 and 4,891.54 is: 7,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.42 : 14,365.95 = 4,891.54 : x
  2. Step 2: Convert to fraction form
    9,574.42/14,365.95 = 4,891.54/x
  3. Step 3: Cross multiply
    9,574.42x = 14,365.95 × 4,891.54
  4. Step 4: Simplify right side
    9,574.42x = 70,271,619.06
  5. Step 5: Solve for x
    x = 70,271,619.06/9,574.42
  6. Step 6: Final answer
    x = 7,339.52

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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.