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Finding the Fourth Proportional to 10,417.60, 14,383.01 and 9,296.61

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Solution

The fourth proportional to 10,417.60, 14,383.01 and 9,296.61 is: 12,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.60 : 14,383.01 = 9,296.61 : x
  2. Step 2: Convert to fraction form
    10,417.60/14,383.01 = 9,296.61/x
  3. Step 3: Cross multiply
    10,417.60x = 14,383.01 × 9,296.61
  4. Step 4: Simplify right side
    10,417.60x = 133,713,234.60
  5. Step 5: Solve for x
    x = 133,713,234.60/10,417.60
  6. Step 6: Final answer
    x = 12,835.32

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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.