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Finding the Fourth Proportional to 9,076.77, 12,526.26 and 5,097.69

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Solution

The fourth proportional to 9,076.77, 12,526.26 and 5,097.69 is: 7,034.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.77 : 12,526.26 = 5,097.69 : x
  2. Step 2: Convert to fraction form
    9,076.77/12,526.26 = 5,097.69/x
  3. Step 3: Cross multiply
    9,076.77x = 12,526.26 × 5,097.69
  4. Step 4: Simplify right side
    9,076.77x = 63,854,990.34
  5. Step 5: Solve for x
    x = 63,854,990.34/9,076.77
  6. Step 6: Final answer
    x = 7,034.99

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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.