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Finding the Fourth Proportional to 9,035.94, 12,477.29 and 5,684.36

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Solution

The fourth proportional to 9,035.94, 12,477.29 and 5,684.36 is: 7,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.94 : 12,477.29 = 5,684.36 : x
  2. Step 2: Convert to fraction form
    9,035.94/12,477.29 = 5,684.36/x
  3. Step 3: Cross multiply
    9,035.94x = 12,477.29 × 5,684.36
  4. Step 4: Simplify right side
    9,035.94x = 70,925,408.18
  5. Step 5: Solve for x
    x = 70,925,408.18/9,035.94
  6. Step 6: Final answer
    x = 7,849.26

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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.