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Finding the Fourth Proportional to 9,578.16, 13,223.94 and 6,558.34

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Solution

The fourth proportional to 9,578.16, 13,223.94 and 6,558.34 is: 9,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.16 : 13,223.94 = 6,558.34 : x
  2. Step 2: Convert to fraction form
    9,578.16/13,223.94 = 6,558.34/x
  3. Step 3: Cross multiply
    9,578.16x = 13,223.94 × 6,558.34
  4. Step 4: Simplify right side
    9,578.16x = 86,727,101.17
  5. Step 5: Solve for x
    x = 86,727,101.17/9,578.16
  6. Step 6: Final answer
    x = 9,054.67

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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.