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Finding the Fourth Proportional to 7,051.36, 9,730.18 and 4,218.16

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Solution

The fourth proportional to 7,051.36, 9,730.18 and 4,218.16 is: 5,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.36 : 9,730.18 = 4,218.16 : x
  2. Step 2: Convert to fraction form
    7,051.36/9,730.18 = 4,218.16/x
  3. Step 3: Cross multiply
    7,051.36x = 9,730.18 × 4,218.16
  4. Step 4: Simplify right side
    7,051.36x = 41,043,456.07
  5. Step 5: Solve for x
    x = 41,043,456.07/7,051.36
  6. Step 6: Final answer
    x = 5,820.64

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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.