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Finding the Fourth Proportional to 9,814.60, 13,544.10 and 5,622.84

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Solution

The fourth proportional to 9,814.60, 13,544.10 and 5,622.84 is: 7,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.60 : 13,544.10 = 5,622.84 : x
  2. Step 2: Convert to fraction form
    9,814.60/13,544.10 = 5,622.84/x
  3. Step 3: Cross multiply
    9,814.60x = 13,544.10 × 5,622.84
  4. Step 4: Simplify right side
    9,814.60x = 76,156,307.24
  5. Step 5: Solve for x
    x = 76,156,307.24/9,814.60
  6. Step 6: Final answer
    x = 7,759.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.