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Finding the Fourth Proportional to 9,822.60, 13,555.10 and 5,630.76

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Solution

The fourth proportional to 9,822.60, 13,555.10 and 5,630.76 is: 7,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.60 : 13,555.10 = 5,630.76 : x
  2. Step 2: Convert to fraction form
    9,822.60/13,555.10 = 5,630.76/x
  3. Step 3: Cross multiply
    9,822.60x = 13,555.10 × 5,630.76
  4. Step 4: Simplify right side
    9,822.60x = 76,325,514.88
  5. Step 5: Solve for x
    x = 76,325,514.88/9,822.60
  6. Step 6: Final answer
    x = 7,770.40

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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.