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Finding the Fourth Proportional to 9,462.86, 13,058.58 and 5,214.32

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Solution

The fourth proportional to 9,462.86, 13,058.58 and 5,214.32 is: 7,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.86 : 13,058.58 = 5,214.32 : x
  2. Step 2: Convert to fraction form
    9,462.86/13,058.58 = 5,214.32/x
  3. Step 3: Cross multiply
    9,462.86x = 13,058.58 × 5,214.32
  4. Step 4: Simplify right side
    9,462.86x = 68,091,549.57
  5. Step 5: Solve for x
    x = 68,091,549.57/9,462.86
  6. Step 6: Final answer
    x = 7,195.67

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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.