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Finding the Fourth Proportional to 9,497.10, 13,105.95 and 5,248.46

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Solution

The fourth proportional to 9,497.10, 13,105.95 and 5,248.46 is: 7,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.10 : 13,105.95 = 5,248.46 : x
  2. Step 2: Convert to fraction form
    9,497.10/13,105.95 = 5,248.46/x
  3. Step 3: Cross multiply
    9,497.10x = 13,105.95 × 5,248.46
  4. Step 4: Simplify right side
    9,497.10x = 68,786,037.95
  5. Step 5: Solve for x
    x = 68,786,037.95/9,497.10
  6. Step 6: Final answer
    x = 7,242.84

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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.