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Finding the Fourth Proportional to 9,822.12, 13,555.02 and 5,630.36

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Solution

The fourth proportional to 9,822.12, 13,555.02 and 5,630.36 is: 7,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.12 : 13,555.02 = 5,630.36 : x
  2. Step 2: Convert to fraction form
    9,822.12/13,555.02 = 5,630.36/x
  3. Step 3: Cross multiply
    9,822.12x = 13,555.02 × 5,630.36
  4. Step 4: Simplify right side
    9,822.12x = 76,319,642.41
  5. Step 5: Solve for x
    x = 76,319,642.41/9,822.12
  6. Step 6: Final answer
    x = 7,770.18

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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.