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Finding the Fourth Proportional to 9,885.21, 13,641.07 and 5,636.40

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Solution

The fourth proportional to 9,885.21, 13,641.07 and 5,636.40 is: 7,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.21 : 13,641.07 = 5,636.40 : x
  2. Step 2: Convert to fraction form
    9,885.21/13,641.07 = 5,636.40/x
  3. Step 3: Cross multiply
    9,885.21x = 13,641.07 × 5,636.40
  4. Step 4: Simplify right side
    9,885.21x = 76,886,526.95
  5. Step 5: Solve for x
    x = 76,886,526.95/9,885.21
  6. Step 6: Final answer
    x = 7,777.94

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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.