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Finding the Fourth Proportional to 9,614.40, 14,421.75 and 3,040.64

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Solution

The fourth proportional to 9,614.40, 14,421.75 and 3,040.64 is: 4,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.40 : 14,421.75 = 3,040.64 : x
  2. Step 2: Convert to fraction form
    9,614.40/14,421.75 = 3,040.64/x
  3. Step 3: Cross multiply
    9,614.40x = 14,421.75 × 3,040.64
  4. Step 4: Simplify right side
    9,614.40x = 43,851,320.49
  5. Step 5: Solve for x
    x = 43,851,320.49/9,614.40
  6. Step 6: Final answer
    x = 4,561.01

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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.