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Finding the Fourth Proportional to 9,673.12, 14,507.70 and 3,097.48

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Solution

The fourth proportional to 9,673.12, 14,507.70 and 3,097.48 is: 4,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.12 : 14,507.70 = 3,097.48 : x
  2. Step 2: Convert to fraction form
    9,673.12/14,507.70 = 3,097.48/x
  3. Step 3: Cross multiply
    9,673.12x = 14,507.70 × 3,097.48
  4. Step 4: Simplify right side
    9,673.12x = 44,937,310.60
  5. Step 5: Solve for x
    x = 44,937,310.60/9,673.12
  6. Step 6: Final answer
    x = 4,645.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.