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Finding the Fourth Proportional to 9,821.35, 13,553.20 and 5,345.00

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Solution

The fourth proportional to 9,821.35, 13,553.20 and 5,345.00 is: 7,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.35 : 13,553.20 = 5,345.00 : x
  2. Step 2: Convert to fraction form
    9,821.35/13,553.20 = 5,345.00/x
  3. Step 3: Cross multiply
    9,821.35x = 13,553.20 × 5,345.00
  4. Step 4: Simplify right side
    9,821.35x = 72,441,904.82
  5. Step 5: Solve for x
    x = 72,441,904.82/9,821.35
  6. Step 6: Final answer
    x = 7,375.96

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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.