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Finding the Fourth Proportional to 9,497.35, 13,103.93 and 5,719.76

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Solution

The fourth proportional to 9,497.35, 13,103.93 and 5,719.76 is: 7,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.35 : 13,103.93 = 5,719.76 : x
  2. Step 2: Convert to fraction form
    9,497.35/13,103.93 = 5,719.76/x
  3. Step 3: Cross multiply
    9,497.35x = 13,103.93 × 5,719.76
  4. Step 4: Simplify right side
    9,497.35x = 74,951,374.11
  5. Step 5: Solve for x
    x = 74,951,374.11/9,497.35
  6. Step 6: Final answer
    x = 7,891.82

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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.