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Finding the Fourth Proportional to 9,182.84, 13,763.70 and 4,242.10

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Solution

The fourth proportional to 9,182.84, 13,763.70 and 4,242.10 is: 6,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.84 : 13,763.70 = 4,242.10 : x
  2. Step 2: Convert to fraction form
    9,182.84/13,763.70 = 4,242.10/x
  3. Step 3: Cross multiply
    9,182.84x = 13,763.70 × 4,242.10
  4. Step 4: Simplify right side
    9,182.84x = 58,386,991.77
  5. Step 5: Solve for x
    x = 58,386,991.77/9,182.84
  6. Step 6: Final answer
    x = 6,358.27

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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.