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Finding the Fourth Proportional to 9,803.70, 13,527.27 and 5,825.79

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Solution

The fourth proportional to 9,803.70, 13,527.27 and 5,825.79 is: 8,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.70 : 13,527.27 = 5,825.79 : x
  2. Step 2: Convert to fraction form
    9,803.70/13,527.27 = 5,825.79/x
  3. Step 3: Cross multiply
    9,803.70x = 13,527.27 × 5,825.79
  4. Step 4: Simplify right side
    9,803.70x = 78,807,034.29
  5. Step 5: Solve for x
    x = 78,807,034.29/9,803.70
  6. Step 6: Final answer
    x = 8,038.50

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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.