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Finding the Fourth Proportional to 9,316.50, 13,977.45 and 3,160.50

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Solution

The fourth proportional to 9,316.50, 13,977.45 and 3,160.50 is: 4,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.50 : 13,977.45 = 3,160.50 : x
  2. Step 2: Convert to fraction form
    9,316.50/13,977.45 = 3,160.50/x
  3. Step 3: Cross multiply
    9,316.50x = 13,977.45 × 3,160.50
  4. Step 4: Simplify right side
    9,316.50x = 44,175,730.73
  5. Step 5: Solve for x
    x = 44,175,730.73/9,316.50
  6. Step 6: Final answer
    x = 4,741.67

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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.