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Finding the Fourth Proportional to 9,558, 14,337 and 2,632.50

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Solution

The fourth proportional to 9,558, 14,337 and 2,632.50 is: 3,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 14,337 = 2,632.50 : x
  2. Step 2: Convert to fraction form
    9,558/14,337 = 2,632.50/x
  3. Step 3: Cross multiply
    9,558x = 14,337 × 2,632.50
  4. Step 4: Simplify right side
    9,558x = 37,742,152.50
  5. Step 5: Solve for x
    x = 37,742,152.50/9,558
  6. Step 6: Final answer
    x = 3,948.75

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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.