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Finding the Fourth Proportional to 10,459.12, 15,671.96 and 9,396.93

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Solution

The fourth proportional to 10,459.12, 15,671.96 and 9,396.93 is: 14,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.12 : 15,671.96 = 9,396.93 : x
  2. Step 2: Convert to fraction form
    10,459.12/15,671.96 = 9,396.93/x
  3. Step 3: Cross multiply
    10,459.12x = 15,671.96 × 9,396.93
  4. Step 4: Simplify right side
    10,459.12x = 147,268,311.08
  5. Step 5: Solve for x
    x = 147,268,311.08/10,459.12
  6. Step 6: Final answer
    x = 14,080.37

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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.