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Finding the Fourth Proportional to 9,821.16, 14,712.03 and 4,548.78

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Solution

The fourth proportional to 9,821.16, 14,712.03 and 4,548.78 is: 6,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.16 : 14,712.03 = 4,548.78 : x
  2. Step 2: Convert to fraction form
    9,821.16/14,712.03 = 4,548.78/x
  3. Step 3: Cross multiply
    9,821.16x = 14,712.03 × 4,548.78
  4. Step 4: Simplify right side
    9,821.16x = 66,921,787.82
  5. Step 5: Solve for x
    x = 66,921,787.82/9,821.16
  6. Step 6: Final answer
    x = 6,814.04

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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.