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Finding the Fourth Proportional to 9,799.84, 13,525.74 and 5,823.16

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Solution

The fourth proportional to 9,799.84, 13,525.74 and 5,823.16 is: 8,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.84 : 13,525.74 = 5,823.16 : x
  2. Step 2: Convert to fraction form
    9,799.84/13,525.74 = 5,823.16/x
  3. Step 3: Cross multiply
    9,799.84x = 13,525.74 × 5,823.16
  4. Step 4: Simplify right side
    9,799.84x = 78,762,548.14
  5. Step 5: Solve for x
    x = 78,762,548.14/9,799.84
  6. Step 6: Final answer
    x = 8,037.13

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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.