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Finding the Fourth Proportional to 9,614.18, 14,420.05 and 3,041.03

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Solution

The fourth proportional to 9,614.18, 14,420.05 and 3,041.03 is: 4,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.18 : 14,420.05 = 3,041.03 : x
  2. Step 2: Convert to fraction form
    9,614.18/14,420.05 = 3,041.03/x
  3. Step 3: Cross multiply
    9,614.18x = 14,420.05 × 3,041.03
  4. Step 4: Simplify right side
    9,614.18x = 43,851,724.95
  5. Step 5: Solve for x
    x = 43,851,724.95/9,614.18
  6. Step 6: Final answer
    x = 4,561.15

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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.