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Finding the Fourth Proportional to 7,038.82, 9,709.32 and 4,520.08

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Solution

The fourth proportional to 7,038.82, 9,709.32 and 4,520.08 is: 6,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.82 : 9,709.32 = 4,520.08 : x
  2. Step 2: Convert to fraction form
    7,038.82/9,709.32 = 4,520.08/x
  3. Step 3: Cross multiply
    7,038.82x = 9,709.32 × 4,520.08
  4. Step 4: Simplify right side
    7,038.82x = 43,886,903.15
  5. Step 5: Solve for x
    x = 43,886,903.15/7,038.82
  6. Step 6: Final answer
    x = 6,234.98

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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.