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Finding the Fourth Proportional to 9,821.84, 13,552.65 and 6,045.62

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Solution

The fourth proportional to 9,821.84, 13,552.65 and 6,045.62 is: 8,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.84 : 13,552.65 = 6,045.62 : x
  2. Step 2: Convert to fraction form
    9,821.84/13,552.65 = 6,045.62/x
  3. Step 3: Cross multiply
    9,821.84x = 13,552.65 × 6,045.62
  4. Step 4: Simplify right side
    9,821.84x = 81,934,104.13
  5. Step 5: Solve for x
    x = 81,934,104.13/9,821.84
  6. Step 6: Final answer
    x = 8,342.04

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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.