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Finding the Fourth Proportional to 9,533.14, 14,291.07 and 5,420.50

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Solution

The fourth proportional to 9,533.14, 14,291.07 and 5,420.50 is: 8,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.14 : 14,291.07 = 5,420.50 : x
  2. Step 2: Convert to fraction form
    9,533.14/14,291.07 = 5,420.50/x
  3. Step 3: Cross multiply
    9,533.14x = 14,291.07 × 5,420.50
  4. Step 4: Simplify right side
    9,533.14x = 77,464,744.94
  5. Step 5: Solve for x
    x = 77,464,744.94/9,533.14
  6. Step 6: Final answer
    x = 8,125.84

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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.