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Finding the Fourth Proportional to 10,276.74, 15,406.88 and 9,697.19

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Solution

The fourth proportional to 10,276.74, 15,406.88 and 9,697.19 is: 14,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.74 : 15,406.88 = 9,697.19 : x
  2. Step 2: Convert to fraction form
    10,276.74/15,406.88 = 9,697.19/x
  3. Step 3: Cross multiply
    10,276.74x = 15,406.88 × 9,697.19
  4. Step 4: Simplify right side
    10,276.74x = 149,403,317.15
  5. Step 5: Solve for x
    x = 149,403,317.15/10,276.74
  6. Step 6: Final answer
    x = 14,538.01

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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.