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Finding the Fourth Proportional to 6,547.51, 9,035.27 and 3,563.34

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Solution

The fourth proportional to 6,547.51, 9,035.27 and 3,563.34 is: 4,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.51 : 9,035.27 = 3,563.34 : x
  2. Step 2: Convert to fraction form
    6,547.51/9,035.27 = 3,563.34/x
  3. Step 3: Cross multiply
    6,547.51x = 9,035.27 × 3,563.34
  4. Step 4: Simplify right side
    6,547.51x = 32,195,761.51
  5. Step 5: Solve for x
    x = 32,195,761.51/6,547.51
  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.