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Finding the Fourth Proportional to 9,574.83, 13,212.32 and 5,325.57

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Solution

The fourth proportional to 9,574.83, 13,212.32 and 5,325.57 is: 7,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.83 : 13,212.32 = 5,325.57 : x
  2. Step 2: Convert to fraction form
    9,574.83/13,212.32 = 5,325.57/x
  3. Step 3: Cross multiply
    9,574.83x = 13,212.32 × 5,325.57
  4. Step 4: Simplify right side
    9,574.83x = 70,363,108.39
  5. Step 5: Solve for x
    x = 70,363,108.39/9,574.83
  6. Step 6: Final answer
    x = 7,348.76

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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.