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Finding the Fourth Proportional to 9,802.31, 14,674.31 and 5,894.87

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Solution

The fourth proportional to 9,802.31, 14,674.31 and 5,894.87 is: 8,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.31 : 14,674.31 = 5,894.87 : x
  2. Step 2: Convert to fraction form
    9,802.31/14,674.31 = 5,894.87/x
  3. Step 3: Cross multiply
    9,802.31x = 14,674.31 × 5,894.87
  4. Step 4: Simplify right side
    9,802.31x = 86,503,120.32
  5. Step 5: Solve for x
    x = 86,503,120.32/9,802.31
  6. Step 6: Final answer
    x = 8,824.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.