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Finding the Fourth Proportional to 9,006.04, 12,428.54 and 5,648.99

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Solution

The fourth proportional to 9,006.04, 12,428.54 and 5,648.99 is: 7,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.04 : 12,428.54 = 5,648.99 : x
  2. Step 2: Convert to fraction form
    9,006.04/12,428.54 = 5,648.99/x
  3. Step 3: Cross multiply
    9,006.04x = 12,428.54 × 5,648.99
  4. Step 4: Simplify right side
    9,006.04x = 70,208,698.88
  5. Step 5: Solve for x
    x = 70,208,698.88/9,006.04
  6. Step 6: Final answer
    x = 7,795.74

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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.