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Finding the Fourth Proportional to 9,783.10, 13,496.49 and 6,598.45

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Solution

The fourth proportional to 9,783.10, 13,496.49 and 6,598.45 is: 9,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.10 : 13,496.49 = 6,598.45 : x
  2. Step 2: Convert to fraction form
    9,783.10/13,496.49 = 6,598.45/x
  3. Step 3: Cross multiply
    9,783.10x = 13,496.49 × 6,598.45
  4. Step 4: Simplify right side
    9,783.10x = 89,055,914.44
  5. Step 5: Solve for x
    x = 89,055,914.44/9,783.10
  6. Step 6: Final answer
    x = 9,103.04

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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.