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Finding the Fourth Proportional to 9,848.63, 13,591.11 and 6,316.62

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Solution

The fourth proportional to 9,848.63, 13,591.11 and 6,316.62 is: 8,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.63 : 13,591.11 = 6,316.62 : x
  2. Step 2: Convert to fraction form
    9,848.63/13,591.11 = 6,316.62/x
  3. Step 3: Cross multiply
    9,848.63x = 13,591.11 × 6,316.62
  4. Step 4: Simplify right side
    9,848.63x = 85,849,877.25
  5. Step 5: Solve for x
    x = 85,849,877.25/9,848.63
  6. Step 6: Final answer
    x = 8,716.94

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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.