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Finding the Fourth Proportional to 9,802.35, 13,527.39 and 5,326.17

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Solution

The fourth proportional to 9,802.35, 13,527.39 and 5,326.17 is: 7,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.35 : 13,527.39 = 5,326.17 : x
  2. Step 2: Convert to fraction form
    9,802.35/13,527.39 = 5,326.17/x
  3. Step 3: Cross multiply
    9,802.35x = 13,527.39 × 5,326.17
  4. Step 4: Simplify right side
    9,802.35x = 72,049,178.80
  5. Step 5: Solve for x
    x = 72,049,178.80/9,802.35
  6. Step 6: Final answer
    x = 7,350.19

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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.