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Finding the Fourth Proportional to 9,823.83, 13,553.10 and 6,990.32

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Solution

The fourth proportional to 9,823.83, 13,553.10 and 6,990.32 is: 9,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.83 : 13,553.10 = 6,990.32 : x
  2. Step 2: Convert to fraction form
    9,823.83/13,553.10 = 6,990.32/x
  3. Step 3: Cross multiply
    9,823.83x = 13,553.10 × 6,990.32
  4. Step 4: Simplify right side
    9,823.83x = 94,740,438.23
  5. Step 5: Solve for x
    x = 94,740,438.23/9,823.83
  6. Step 6: Final answer
    x = 9,643.94

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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.