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Finding the Fourth Proportional to 9,298.36, 12,826.38 and 5,570.20

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Solution

The fourth proportional to 9,298.36, 12,826.38 and 5,570.20 is: 7,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.36 : 12,826.38 = 5,570.20 : x
  2. Step 2: Convert to fraction form
    9,298.36/12,826.38 = 5,570.20/x
  3. Step 3: Cross multiply
    9,298.36x = 12,826.38 × 5,570.20
  4. Step 4: Simplify right side
    9,298.36x = 71,445,501.88
  5. Step 5: Solve for x
    x = 71,445,501.88/9,298.36
  6. Step 6: Final answer
    x = 7,683.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.