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Finding the Fourth Proportional to 9,301.64, 12,835.80 and 5,110.04

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Solution

The fourth proportional to 9,301.64, 12,835.80 and 5,110.04 is: 7,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.64 : 12,835.80 = 5,110.04 : x
  2. Step 2: Convert to fraction form
    9,301.64/12,835.80 = 5,110.04/x
  3. Step 3: Cross multiply
    9,301.64x = 12,835.80 × 5,110.04
  4. Step 4: Simplify right side
    9,301.64x = 65,591,451.43
  5. Step 5: Solve for x
    x = 65,591,451.43/9,301.64
  6. Step 6: Final answer
    x = 7,051.60

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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.