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Finding the Fourth Proportional to 9,698, 14,547 and 3,542

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Solution

The fourth proportional to 9,698, 14,547 and 3,542 is: 5,313

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698 : 14,547 = 3,542 : x
  2. Step 2: Convert to fraction form
    9,698/14,547 = 3,542/x
  3. Step 3: Cross multiply
    9,698x = 14,547 × 3,542
  4. Step 4: Simplify right side
    9,698x = 51,525,474
  5. Step 5: Solve for x
    x = 51,525,474/9,698
  6. Step 6: Final answer
    x = 5,313

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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.