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Finding the Fourth Proportional to 9,302.88, 12,838.06 and 5,054.02

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Solution

The fourth proportional to 9,302.88, 12,838.06 and 5,054.02 is: 6,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.88 : 12,838.06 = 5,054.02 : x
  2. Step 2: Convert to fraction form
    9,302.88/12,838.06 = 5,054.02/x
  3. Step 3: Cross multiply
    9,302.88x = 12,838.06 × 5,054.02
  4. Step 4: Simplify right side
    9,302.88x = 64,883,812.00
  5. Step 5: Solve for x
    x = 64,883,812.00/9,302.88
  6. Step 6: Final answer
    x = 6,974.59

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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.