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Finding the Fourth Proportional to 9,403.99, 12,980.87 and 6,417.69

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Solution

The fourth proportional to 9,403.99, 12,980.87 and 6,417.69 is: 8,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.99 : 12,980.87 = 6,417.69 : x
  2. Step 2: Convert to fraction form
    9,403.99/12,980.87 = 6,417.69/x
  3. Step 3: Cross multiply
    9,403.99x = 12,980.87 × 6,417.69
  4. Step 4: Simplify right side
    9,403.99x = 83,307,199.59
  5. Step 5: Solve for x
    x = 83,307,199.59/9,403.99
  6. Step 6: Final answer
    x = 8,858.71

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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.