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Finding the Fourth Proportional to 9,304.97, 12,840.80 and 5,056.00

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Solution

The fourth proportional to 9,304.97, 12,840.80 and 5,056.00 is: 6,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.97 : 12,840.80 = 5,056.00 : x
  2. Step 2: Convert to fraction form
    9,304.97/12,840.80 = 5,056.00/x
  3. Step 3: Cross multiply
    9,304.97x = 12,840.80 × 5,056.00
  4. Step 4: Simplify right side
    9,304.97x = 64,923,065.34
  5. Step 5: Solve for x
    x = 64,923,065.34/9,304.97
  6. Step 6: Final answer
    x = 6,977.25

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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.