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Finding the Fourth Proportional to 8,946.45, 12,346.16 and 5,591.22

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Solution

The fourth proportional to 8,946.45, 12,346.16 and 5,591.22 is: 7,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.45 : 12,346.16 = 5,591.22 : x
  2. Step 2: Convert to fraction form
    8,946.45/12,346.16 = 5,591.22/x
  3. Step 3: Cross multiply
    8,946.45x = 12,346.16 × 5,591.22
  4. Step 4: Simplify right side
    8,946.45x = 69,030,068.76
  5. Step 5: Solve for x
    x = 69,030,068.76/8,946.45
  6. Step 6: Final answer
    x = 7,715.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.