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Finding the Fourth Proportional to 9,874.84, 14,812.32 and 4,032.04

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Solution

The fourth proportional to 9,874.84, 14,812.32 and 4,032.04 is: 6,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.84 : 14,812.32 = 4,032.04 : x
  2. Step 2: Convert to fraction form
    9,874.84/14,812.32 = 4,032.04/x
  3. Step 3: Cross multiply
    9,874.84x = 14,812.32 × 4,032.04
  4. Step 4: Simplify right side
    9,874.84x = 59,723,866.73
  5. Step 5: Solve for x
    x = 59,723,866.73/9,874.84
  6. Step 6: Final answer
    x = 6,048.08

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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.