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Finding the Fourth Proportional to 9,497.14, 13,106.08 and 5,248.32

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Solution

The fourth proportional to 9,497.14, 13,106.08 and 5,248.32 is: 7,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.14 : 13,106.08 = 5,248.32 : x
  2. Step 2: Convert to fraction form
    9,497.14/13,106.08 = 5,248.32/x
  3. Step 3: Cross multiply
    9,497.14x = 13,106.08 × 5,248.32
  4. Step 4: Simplify right side
    9,497.14x = 68,784,901.79
  5. Step 5: Solve for x
    x = 68,784,901.79/9,497.14
  6. Step 6: Final answer
    x = 7,242.70

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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.