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Finding the Fourth Proportional to 9,549, 14,323.86 and 2,975.16

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Solution

The fourth proportional to 9,549, 14,323.86 and 2,975.16 is: 4,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549 : 14,323.86 = 2,975.16 : x
  2. Step 2: Convert to fraction form
    9,549/14,323.86 = 2,975.16/x
  3. Step 3: Cross multiply
    9,549x = 14,323.86 × 2,975.16
  4. Step 4: Simplify right side
    9,549x = 42,615,775.32
  5. Step 5: Solve for x
    x = 42,615,775.32/9,549
  6. Step 6: Final answer
    x = 4,462.85

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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.