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Finding the Fourth Proportional to 7,036.26, 9,705.81 and 4,646.26

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Solution

The fourth proportional to 7,036.26, 9,705.81 and 4,646.26 is: 6,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.26 : 9,705.81 = 4,646.26 : x
  2. Step 2: Convert to fraction form
    7,036.26/9,705.81 = 4,646.26/x
  3. Step 3: Cross multiply
    7,036.26x = 9,705.81 × 4,646.26
  4. Step 4: Simplify right side
    7,036.26x = 45,095,709.93
  5. Step 5: Solve for x
    x = 45,095,709.93/7,036.26
  6. Step 6: Final answer
    x = 6,409.04

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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.