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Finding the Fourth Proportional to 9,697.13, 14,547.53 and 3,121.55

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Solution

The fourth proportional to 9,697.13, 14,547.53 and 3,121.55 is: 4,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.13 : 14,547.53 = 3,121.55 : x
  2. Step 2: Convert to fraction form
    9,697.13/14,547.53 = 3,121.55/x
  3. Step 3: Cross multiply
    9,697.13x = 14,547.53 × 3,121.55
  4. Step 4: Simplify right side
    9,697.13x = 45,410,842.27
  5. Step 5: Solve for x
    x = 45,410,842.27/9,697.13
  6. Step 6: Final answer
    x = 4,682.92

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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.