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Finding the Fourth Proportional to 6,547.33, 9,035.40 and 3,563.19

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Solution

The fourth proportional to 6,547.33, 9,035.40 and 3,563.19 is: 4,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.33 : 9,035.40 = 3,563.19 : x
  2. Step 2: Convert to fraction form
    6,547.33/9,035.40 = 3,563.19/x
  3. Step 3: Cross multiply
    6,547.33x = 9,035.40 × 3,563.19
  4. Step 4: Simplify right side
    6,547.33x = 32,194,840.25
  5. Step 5: Solve for x
    x = 32,194,840.25/6,547.33
  6. Step 6: Final answer
    x = 4,917.25

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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.