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Finding the Fourth Proportional to 9,706.15, 14,559.23 and 4,155.90

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Solution

The fourth proportional to 9,706.15, 14,559.23 and 4,155.90 is: 6,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.15 : 14,559.23 = 4,155.90 : x
  2. Step 2: Convert to fraction form
    9,706.15/14,559.23 = 4,155.90/x
  3. Step 3: Cross multiply
    9,706.15x = 14,559.23 × 4,155.90
  4. Step 4: Simplify right side
    9,706.15x = 60,506,703.96
  5. Step 5: Solve for x
    x = 60,506,703.96/9,706.15
  6. Step 6: Final answer
    x = 6,233.85

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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.