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Finding the Fourth Proportional to 9,346.64, 12,898.12 and 5,154.80

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Solution

The fourth proportional to 9,346.64, 12,898.12 and 5,154.80 is: 7,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.64 : 12,898.12 = 5,154.80 : x
  2. Step 2: Convert to fraction form
    9,346.64/12,898.12 = 5,154.80/x
  3. Step 3: Cross multiply
    9,346.64x = 12,898.12 × 5,154.80
  4. Step 4: Simplify right side
    9,346.64x = 66,487,228.98
  5. Step 5: Solve for x
    x = 66,487,228.98/9,346.64
  6. Step 6: Final answer
    x = 7,113.49

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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.