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Finding the Fourth Proportional to 9,346.42, 12,898.08 and 5,154.70

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Solution

The fourth proportional to 9,346.42, 12,898.08 and 5,154.70 is: 7,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.42 : 12,898.08 = 5,154.70 : x
  2. Step 2: Convert to fraction form
    9,346.42/12,898.08 = 5,154.70/x
  3. Step 3: Cross multiply
    9,346.42x = 12,898.08 × 5,154.70
  4. Step 4: Simplify right side
    9,346.42x = 66,485,732.98
  5. Step 5: Solve for x
    x = 66,485,732.98/9,346.42
  6. Step 6: Final answer
    x = 7,113.50

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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.