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Finding the Fourth Proportional to 9,611.48, 14,419.02 and 3,038.63

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Solution

The fourth proportional to 9,611.48, 14,419.02 and 3,038.63 is: 4,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.48 : 14,419.02 = 3,038.63 : x
  2. Step 2: Convert to fraction form
    9,611.48/14,419.02 = 3,038.63/x
  3. Step 3: Cross multiply
    9,611.48x = 14,419.02 × 3,038.63
  4. Step 4: Simplify right side
    9,611.48x = 43,813,994.65
  5. Step 5: Solve for x
    x = 43,813,994.65/9,611.48
  6. Step 6: Final answer
    x = 4,558.51

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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.