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Finding the Fourth Proportional to 9,214.60, 12,705.84 and 5,853.16

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Solution

The fourth proportional to 9,214.60, 12,705.84 and 5,853.16 is: 8,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.60 : 12,705.84 = 5,853.16 : x
  2. Step 2: Convert to fraction form
    9,214.60/12,705.84 = 5,853.16/x
  3. Step 3: Cross multiply
    9,214.60x = 12,705.84 × 5,853.16
  4. Step 4: Simplify right side
    9,214.60x = 74,369,314.45
  5. Step 5: Solve for x
    x = 74,369,314.45/9,214.60
  6. Step 6: Final answer
    x = 8,070.81

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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.