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Finding the Fourth Proportional to 9,402.99, 12,979.49 and 6,416.69

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Solution

The fourth proportional to 9,402.99, 12,979.49 and 6,416.69 is: 8,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.99 : 12,979.49 = 6,416.69 : x
  2. Step 2: Convert to fraction form
    9,402.99/12,979.49 = 6,416.69/x
  3. Step 3: Cross multiply
    9,402.99x = 12,979.49 × 6,416.69
  4. Step 4: Simplify right side
    9,402.99x = 83,285,266.71
  5. Step 5: Solve for x
    x = 83,285,266.71/9,402.99
  6. Step 6: Final answer
    x = 8,857.32

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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.