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Finding the Fourth Proportional to 9,614.10, 14,421.15 and 5,904.30

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Solution

The fourth proportional to 9,614.10, 14,421.15 and 5,904.30 is: 8,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.10 : 14,421.15 = 5,904.30 : x
  2. Step 2: Convert to fraction form
    9,614.10/14,421.15 = 5,904.30/x
  3. Step 3: Cross multiply
    9,614.10x = 14,421.15 × 5,904.30
  4. Step 4: Simplify right side
    9,614.10x = 85,146,795.95
  5. Step 5: Solve for x
    x = 85,146,795.95/9,614.10
  6. Step 6: Final answer
    x = 8,856.45

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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.