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Finding the Fourth Proportional to 9,612.61, 14,419.80 and 3,038.85

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Solution

The fourth proportional to 9,612.61, 14,419.80 and 3,038.85 is: 4,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.61 : 14,419.80 = 3,038.85 : x
  2. Step 2: Convert to fraction form
    9,612.61/14,419.80 = 3,038.85/x
  3. Step 3: Cross multiply
    9,612.61x = 14,419.80 × 3,038.85
  4. Step 4: Simplify right side
    9,612.61x = 43,819,609.23
  5. Step 5: Solve for x
    x = 43,819,609.23/9,612.61
  6. Step 6: Final answer
    x = 4,558.56

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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.