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Finding the Fourth Proportional to 9,346.84, 12,898.59 and 5,155.09

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Solution

The fourth proportional to 9,346.84, 12,898.59 and 5,155.09 is: 7,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.84 : 12,898.59 = 5,155.09 : x
  2. Step 2: Convert to fraction form
    9,346.84/12,898.59 = 5,155.09/x
  3. Step 3: Cross multiply
    9,346.84x = 12,898.59 × 5,155.09
  4. Step 4: Simplify right side
    9,346.84x = 66,493,392.32
  5. Step 5: Solve for x
    x = 66,493,392.32/9,346.84
  6. Step 6: Final answer
    x = 7,114.00

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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.