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Finding the Fourth Proportional to 9,814.55, 14,716.90 and 4,545.03

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Solution

The fourth proportional to 9,814.55, 14,716.90 and 4,545.03 is: 6,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.55 : 14,716.90 = 4,545.03 : x
  2. Step 2: Convert to fraction form
    9,814.55/14,716.90 = 4,545.03/x
  3. Step 3: Cross multiply
    9,814.55x = 14,716.90 × 4,545.03
  4. Step 4: Simplify right side
    9,814.55x = 66,888,729.28
  5. Step 5: Solve for x
    x = 66,888,729.28/9,814.55
  6. Step 6: Final answer
    x = 6,815.26

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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.