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Finding the Fourth Proportional to 6,547.53, 9,820.32 and 2,165.01

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Solution

The fourth proportional to 6,547.53, 9,820.32 and 2,165.01 is: 3,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.53 : 9,820.32 = 2,165.01 : x
  2. Step 2: Convert to fraction form
    6,547.53/9,820.32 = 2,165.01/x
  3. Step 3: Cross multiply
    6,547.53x = 9,820.32 × 2,165.01
  4. Step 4: Simplify right side
    6,547.53x = 21,261,091.00
  5. Step 5: Solve for x
    x = 21,261,091.00/6,547.53
  6. Step 6: Final answer
    x = 3,247.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.