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Finding the Fourth Proportional to 9,802.24, 13,527.11 and 5,325.99

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Solution

The fourth proportional to 9,802.24, 13,527.11 and 5,325.99 is: 7,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.24 : 13,527.11 = 5,325.99 : x
  2. Step 2: Convert to fraction form
    9,802.24/13,527.11 = 5,325.99/x
  3. Step 3: Cross multiply
    9,802.24x = 13,527.11 × 5,325.99
  4. Step 4: Simplify right side
    9,802.24x = 72,045,252.59
  5. Step 5: Solve for x
    x = 72,045,252.59/9,802.24
  6. Step 6: Final answer
    x = 7,349.88

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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.