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Finding the Fourth Proportional to 6,705.09, 9,256.64 and 4,583.75

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Solution

The fourth proportional to 6,705.09, 9,256.64 and 4,583.75 is: 6,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.09 : 9,256.64 = 4,583.75 : x
  2. Step 2: Convert to fraction form
    6,705.09/9,256.64 = 4,583.75/x
  3. Step 3: Cross multiply
    6,705.09x = 9,256.64 × 4,583.75
  4. Step 4: Simplify right side
    6,705.09x = 42,430,054.40
  5. Step 5: Solve for x
    x = 42,430,054.40/6,705.09
  6. Step 6: Final answer
    x = 6,328.04

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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.