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Finding the Fourth Proportional to 9,300.66, 13,957.20 and 3,457.86

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Solution

The fourth proportional to 9,300.66, 13,957.20 and 3,457.86 is: 5,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.66 : 13,957.20 = 3,457.86 : x
  2. Step 2: Convert to fraction form
    9,300.66/13,957.20 = 3,457.86/x
  3. Step 3: Cross multiply
    9,300.66x = 13,957.20 × 3,457.86
  4. Step 4: Simplify right side
    9,300.66x = 48,262,043.59
  5. Step 5: Solve for x
    x = 48,262,043.59/9,300.66
  6. Step 6: Final answer
    x = 5,189.10

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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.