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Finding the Fourth Proportional to 9,200.88, 12,697.29 and 5,009.13

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Solution

The fourth proportional to 9,200.88, 12,697.29 and 5,009.13 is: 6,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.88 : 12,697.29 = 5,009.13 : x
  2. Step 2: Convert to fraction form
    9,200.88/12,697.29 = 5,009.13/x
  3. Step 3: Cross multiply
    9,200.88x = 12,697.29 × 5,009.13
  4. Step 4: Simplify right side
    9,200.88x = 63,602,376.26
  5. Step 5: Solve for x
    x = 63,602,376.26/9,200.88
  6. Step 6: Final answer
    x = 6,912.64

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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.