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Finding the Fourth Proportional to 9,725.70, 14,587.11 and 3,152.46

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Solution

The fourth proportional to 9,725.70, 14,587.11 and 3,152.46 is: 4,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.70 : 14,587.11 = 3,152.46 : x
  2. Step 2: Convert to fraction form
    9,725.70/14,587.11 = 3,152.46/x
  3. Step 3: Cross multiply
    9,725.70x = 14,587.11 × 3,152.46
  4. Step 4: Simplify right side
    9,725.70x = 45,985,280.79
  5. Step 5: Solve for x
    x = 45,985,280.79/9,725.70
  6. Step 6: Final answer
    x = 4,728.22

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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.