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Finding the Fourth Proportional to 9,316.56, 13,966.20 and 4,633.68

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Solution

The fourth proportional to 9,316.56, 13,966.20 and 4,633.68 is: 6,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.56 : 13,966.20 = 4,633.68 : x
  2. Step 2: Convert to fraction form
    9,316.56/13,966.20 = 4,633.68/x
  3. Step 3: Cross multiply
    9,316.56x = 13,966.20 × 4,633.68
  4. Step 4: Simplify right side
    9,316.56x = 64,714,901.62
  5. Step 5: Solve for x
    x = 64,714,901.62/9,316.56
  6. Step 6: Final answer
    x = 6,946.22

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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.