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Finding the Fourth Proportional to 9,283.46, 13,918.00 and 3,039.57

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Solution

The fourth proportional to 9,283.46, 13,918.00 and 3,039.57 is: 4,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.46 : 13,918.00 = 3,039.57 : x
  2. Step 2: Convert to fraction form
    9,283.46/13,918.00 = 3,039.57/x
  3. Step 3: Cross multiply
    9,283.46x = 13,918.00 × 3,039.57
  4. Step 4: Simplify right side
    9,283.46x = 42,304,744.76
  5. Step 5: Solve for x
    x = 42,304,744.76/9,283.46
  6. Step 6: Final answer
    x = 4,557.00

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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.