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Finding the Fourth Proportional to 9,316.68, 13,970.70 and 3,471.72

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Solution

The fourth proportional to 9,316.68, 13,970.70 and 3,471.72 is: 5,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.68 : 13,970.70 = 3,471.72 : x
  2. Step 2: Convert to fraction form
    9,316.68/13,970.70 = 3,471.72/x
  3. Step 3: Cross multiply
    9,316.68x = 13,970.70 × 3,471.72
  4. Step 4: Simplify right side
    9,316.68x = 48,502,358.60
  5. Step 5: Solve for x
    x = 48,502,358.60/9,316.68
  6. Step 6: Final answer
    x = 5,205.97

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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.