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Finding the Fourth Proportional to 9,582.32, 13,223.79 and 5,333.67

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Solution

The fourth proportional to 9,582.32, 13,223.79 and 5,333.67 is: 7,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.32 : 13,223.79 = 5,333.67 : x
  2. Step 2: Convert to fraction form
    9,582.32/13,223.79 = 5,333.67/x
  3. Step 3: Cross multiply
    9,582.32x = 13,223.79 × 5,333.67
  4. Step 4: Simplify right side
    9,582.32x = 70,531,332.01
  5. Step 5: Solve for x
    x = 70,531,332.01/9,582.32
  6. Step 6: Final answer
    x = 7,360.57

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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.