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Finding the Fourth Proportional to 9,673.02, 13,349.88 and 6,535.62

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Solution

The fourth proportional to 9,673.02, 13,349.88 and 6,535.62 is: 9,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.02 : 13,349.88 = 6,535.62 : x
  2. Step 2: Convert to fraction form
    9,673.02/13,349.88 = 6,535.62/x
  3. Step 3: Cross multiply
    9,673.02x = 13,349.88 × 6,535.62
  4. Step 4: Simplify right side
    9,673.02x = 87,249,742.73
  5. Step 5: Solve for x
    x = 87,249,742.73/9,673.02
  6. Step 6: Final answer
    x = 9,019.91

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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.