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Finding the Fourth Proportional to 9,474.16, 13,068.48 and 6,287.60

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Solution

The fourth proportional to 9,474.16, 13,068.48 and 6,287.60 is: 8,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.16 : 13,068.48 = 6,287.60 : x
  2. Step 2: Convert to fraction form
    9,474.16/13,068.48 = 6,287.60/x
  3. Step 3: Cross multiply
    9,474.16x = 13,068.48 × 6,287.60
  4. Step 4: Simplify right side
    9,474.16x = 82,169,374.85
  5. Step 5: Solve for x
    x = 82,169,374.85/9,474.16
  6. Step 6: Final answer
    x = 8,673.00

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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.