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Finding the Fourth Proportional to 9,567.35, 14,351 and 2,547.36

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Solution

The fourth proportional to 9,567.35, 14,351 and 2,547.36 is: 3,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.35 : 14,351 = 2,547.36 : x
  2. Step 2: Convert to fraction form
    9,567.35/14,351 = 2,547.36/x
  3. Step 3: Cross multiply
    9,567.35x = 14,351 × 2,547.36
  4. Step 4: Simplify right side
    9,567.35x = 36,557,163.36
  5. Step 5: Solve for x
    x = 36,557,163.36/9,567.35
  6. Step 6: Final answer
    x = 3,821.03

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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.