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Finding the Fourth Proportional to 9,493.64, 13,097.40 and 6,308.48

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Solution

The fourth proportional to 9,493.64, 13,097.40 and 6,308.48 is: 8,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.64 : 13,097.40 = 6,308.48 : x
  2. Step 2: Convert to fraction form
    9,493.64/13,097.40 = 6,308.48/x
  3. Step 3: Cross multiply
    9,493.64x = 13,097.40 × 6,308.48
  4. Step 4: Simplify right side
    9,493.64x = 82,624,685.95
  5. Step 5: Solve for x
    x = 82,624,685.95/9,493.64
  6. Step 6: Final answer
    x = 8,703.16

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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.