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Finding the Fourth Proportional to 6,567.09, 9,851.25 and 4,369.16

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Solution

The fourth proportional to 6,567.09, 9,851.25 and 4,369.16 is: 6,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.09 : 9,851.25 = 4,369.16 : x
  2. Step 2: Convert to fraction form
    6,567.09/9,851.25 = 4,369.16/x
  3. Step 3: Cross multiply
    6,567.09x = 9,851.25 × 4,369.16
  4. Step 4: Simplify right side
    6,567.09x = 43,041,638.19
  5. Step 5: Solve for x
    x = 43,041,638.19/6,567.09
  6. Step 6: Final answer
    x = 6,554.14

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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.