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Finding the Fourth Proportional to 10,009.84, 13,812.37 and 5,532.98

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Solution

The fourth proportional to 10,009.84, 13,812.37 and 5,532.98 is: 7,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.84 : 13,812.37 = 5,532.98 : x
  2. Step 2: Convert to fraction form
    10,009.84/13,812.37 = 5,532.98/x
  3. Step 3: Cross multiply
    10,009.84x = 13,812.37 × 5,532.98
  4. Step 4: Simplify right side
    10,009.84x = 76,423,566.96
  5. Step 5: Solve for x
    x = 76,423,566.96/10,009.84
  6. Step 6: Final answer
    x = 7,634.84

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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.