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Finding the Fourth Proportional to 9,554.10, 14,331.51 and 2,980.50

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Solution

The fourth proportional to 9,554.10, 14,331.51 and 2,980.50 is: 4,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.10 : 14,331.51 = 2,980.50 : x
  2. Step 2: Convert to fraction form
    9,554.10/14,331.51 = 2,980.50/x
  3. Step 3: Cross multiply
    9,554.10x = 14,331.51 × 2,980.50
  4. Step 4: Simplify right side
    9,554.10x = 42,715,065.56
  5. Step 5: Solve for x
    x = 42,715,065.56/9,554.10
  6. Step 6: Final answer
    x = 4,470.86

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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.