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Finding the Fourth Proportional to 9,300.71, 13,951.14 and 3,457.32

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Solution

The fourth proportional to 9,300.71, 13,951.14 and 3,457.32 is: 5,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.71 : 13,951.14 = 3,457.32 : x
  2. Step 2: Convert to fraction form
    9,300.71/13,951.14 = 3,457.32/x
  3. Step 3: Cross multiply
    9,300.71x = 13,951.14 × 3,457.32
  4. Step 4: Simplify right side
    9,300.71x = 48,233,555.34
  5. Step 5: Solve for x
    x = 48,233,555.34/9,300.71
  6. Step 6: Final answer
    x = 5,186.01

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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.