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Finding the Fourth Proportional to 9,614.04, 14,421.72 and 4,061.88

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Solution

The fourth proportional to 9,614.04, 14,421.72 and 4,061.88 is: 6,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.04 : 14,421.72 = 4,061.88 : x
  2. Step 2: Convert to fraction form
    9,614.04/14,421.72 = 4,061.88/x
  3. Step 3: Cross multiply
    9,614.04x = 14,421.72 × 4,061.88
  4. Step 4: Simplify right side
    9,614.04x = 58,579,296.03
  5. Step 5: Solve for x
    x = 58,579,296.03/9,614.04
  6. Step 6: Final answer
    x = 6,093.10

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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.