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Finding the Fourth Proportional to 9,547.34, 13,175.34 and 5,821.34

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Solution

The fourth proportional to 9,547.34, 13,175.34 and 5,821.34 is: 8,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.34 : 13,175.34 = 5,821.34 : x
  2. Step 2: Convert to fraction form
    9,547.34/13,175.34 = 5,821.34/x
  3. Step 3: Cross multiply
    9,547.34x = 13,175.34 × 5,821.34
  4. Step 4: Simplify right side
    9,547.34x = 76,698,133.76
  5. Step 5: Solve for x
    x = 76,698,133.76/9,547.34
  6. Step 6: Final answer
    x = 8,033.46

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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.