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Finding the Fourth Proportional to 9,616.57, 13,271.54 and 5,368.46

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Solution

The fourth proportional to 9,616.57, 13,271.54 and 5,368.46 is: 7,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.57 : 13,271.54 = 5,368.46 : x
  2. Step 2: Convert to fraction form
    9,616.57/13,271.54 = 5,368.46/x
  3. Step 3: Cross multiply
    9,616.57x = 13,271.54 × 5,368.46
  4. Step 4: Simplify right side
    9,616.57x = 71,247,731.63
  5. Step 5: Solve for x
    x = 71,247,731.63/9,616.57
  6. Step 6: Final answer
    x = 7,408.85

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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.