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Finding the Fourth Proportional to 9,814.56, 14,711.13 and 4,820.37

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Solution

The fourth proportional to 9,814.56, 14,711.13 and 4,820.37 is: 7,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.56 : 14,711.13 = 4,820.37 : x
  2. Step 2: Convert to fraction form
    9,814.56/14,711.13 = 4,820.37/x
  3. Step 3: Cross multiply
    9,814.56x = 14,711.13 × 4,820.37
  4. Step 4: Simplify right side
    9,814.56x = 70,913,016.16
  5. Step 5: Solve for x
    x = 70,913,016.16/9,814.56
  6. Step 6: Final answer
    x = 7,225.29

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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.