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Finding the Fourth Proportional to 9,823.87, 13,557.08 and 5,347.76

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Solution

The fourth proportional to 9,823.87, 13,557.08 and 5,347.76 is: 7,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.87 : 13,557.08 = 5,347.76 : x
  2. Step 2: Convert to fraction form
    9,823.87/13,557.08 = 5,347.76/x
  3. Step 3: Cross multiply
    9,823.87x = 13,557.08 × 5,347.76
  4. Step 4: Simplify right side
    9,823.87x = 72,499,915.62
  5. Step 5: Solve for x
    x = 72,499,915.62/9,823.87
  6. Step 6: Final answer
    x = 7,379.98

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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.