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Finding the Fourth Proportional to 9,038.80, 13,558.62 and 3,196

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Solution

The fourth proportional to 9,038.80, 13,558.62 and 3,196 is: 4,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.80 : 13,558.62 = 3,196 : x
  2. Step 2: Convert to fraction form
    9,038.80/13,558.62 = 3,196/x
  3. Step 3: Cross multiply
    9,038.80x = 13,558.62 × 3,196
  4. Step 4: Simplify right side
    9,038.80x = 43,333,349.52
  5. Step 5: Solve for x
    x = 43,333,349.52/9,038.80
  6. Step 6: Final answer
    x = 4,794.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.