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Finding the Fourth Proportional to 9,084.74, 12,533.90 and 5,105.00

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Solution

The fourth proportional to 9,084.74, 12,533.90 and 5,105.00 is: 7,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.74 : 12,533.90 = 5,105.00 : x
  2. Step 2: Convert to fraction form
    9,084.74/12,533.90 = 5,105.00/x
  3. Step 3: Cross multiply
    9,084.74x = 12,533.90 × 5,105.00
  4. Step 4: Simplify right side
    9,084.74x = 63,985,565.31
  5. Step 5: Solve for x
    x = 63,985,565.31/9,084.74
  6. Step 6: Final answer
    x = 7,043.20

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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.