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Finding the Fourth Proportional to 6,547.40, 9,035.23 and 3,563.16

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Solution

The fourth proportional to 6,547.40, 9,035.23 and 3,563.16 is: 4,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.40 : 9,035.23 = 3,563.16 : x
  2. Step 2: Convert to fraction form
    6,547.40/9,035.23 = 3,563.16/x
  3. Step 3: Cross multiply
    6,547.40x = 9,035.23 × 3,563.16
  4. Step 4: Simplify right side
    6,547.40x = 32,193,970.13
  5. Step 5: Solve for x
    x = 32,193,970.13/6,547.40
  6. Step 6: Final answer
    x = 4,917.06

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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.