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Finding the Fourth Proportional to 6,407.70, 9,611.55 and 6,128.90

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Solution

The fourth proportional to 6,407.70, 9,611.55 and 6,128.90 is: 9,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.70 : 9,611.55 = 6,128.90 : x
  2. Step 2: Convert to fraction form
    6,407.70/9,611.55 = 6,128.90/x
  3. Step 3: Cross multiply
    6,407.70x = 9,611.55 × 6,128.90
  4. Step 4: Simplify right side
    6,407.70x = 58,908,228.80
  5. Step 5: Solve for x
    x = 58,908,228.80/6,407.70
  6. Step 6: Final answer
    x = 9,193.35

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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.