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Finding the Fourth Proportional to 9,792.56, 14,688.96 and 2,867.20

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Solution

The fourth proportional to 9,792.56, 14,688.96 and 2,867.20 is: 4,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.56 : 14,688.96 = 2,867.20 : x
  2. Step 2: Convert to fraction form
    9,792.56/14,688.96 = 2,867.20/x
  3. Step 3: Cross multiply
    9,792.56x = 14,688.96 × 2,867.20
  4. Step 4: Simplify right side
    9,792.56x = 42,116,186.11
  5. Step 5: Solve for x
    x = 42,116,186.11/9,792.56
  6. Step 6: Final answer
    x = 4,300.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.