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Finding the Fourth Proportional to 9,096, 12,552.48 and 5,370

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Solution

The fourth proportional to 9,096, 12,552.48 and 5,370 is: 7,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096 : 12,552.48 = 5,370 : x
  2. Step 2: Convert to fraction form
    9,096/12,552.48 = 5,370/x
  3. Step 3: Cross multiply
    9,096x = 12,552.48 × 5,370
  4. Step 4: Simplify right side
    9,096x = 67,406,817.60
  5. Step 5: Solve for x
    x = 67,406,817.60/9,096
  6. Step 6: Final answer
    x = 7,410.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.