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Finding the Fourth Proportional to 9,827.60, 14,741.40 and 7,883.60

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Solution

The fourth proportional to 9,827.60, 14,741.40 and 7,883.60 is: 11,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.60 : 14,741.40 = 7,883.60 : x
  2. Step 2: Convert to fraction form
    9,827.60/14,741.40 = 7,883.60/x
  3. Step 3: Cross multiply
    9,827.60x = 14,741.40 × 7,883.60
  4. Step 4: Simplify right side
    9,827.60x = 116,215,301.04
  5. Step 5: Solve for x
    x = 116,215,301.04/9,827.60
  6. Step 6: Final answer
    x = 11,825.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.