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Finding the Fourth Proportional to 9,555.64, 14,332.78 and 2,535.50

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Solution

The fourth proportional to 9,555.64, 14,332.78 and 2,535.50 is: 3,803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.64 : 14,332.78 = 2,535.50 : x
  2. Step 2: Convert to fraction form
    9,555.64/14,332.78 = 2,535.50/x
  3. Step 3: Cross multiply
    9,555.64x = 14,332.78 × 2,535.50
  4. Step 4: Simplify right side
    9,555.64x = 36,340,763.69
  5. Step 5: Solve for x
    x = 36,340,763.69/9,555.64
  6. Step 6: Final answer
    x = 3,803.07

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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.