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Finding the Fourth Proportional to 9,006.65, 12,428.43 and 5,228.60

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Solution

The fourth proportional to 9,006.65, 12,428.43 and 5,228.60 is: 7,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.65 : 12,428.43 = 5,228.60 : x
  2. Step 2: Convert to fraction form
    9,006.65/12,428.43 = 5,228.60/x
  3. Step 3: Cross multiply
    9,006.65x = 12,428.43 × 5,228.60
  4. Step 4: Simplify right side
    9,006.65x = 64,983,341.62
  5. Step 5: Solve for x
    x = 64,983,341.62/9,006.65
  6. Step 6: Final answer
    x = 7,215.04

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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.