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Finding the Fourth Proportional to 34,417, 51,619.32 and 9,116.68

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Solution

The fourth proportional to 34,417, 51,619.32 and 9,116.68 is: 13,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,417 : 51,619.32 = 9,116.68 : x
  2. Step 2: Convert to fraction form
    34,417/51,619.32 = 9,116.68/x
  3. Step 3: Cross multiply
    34,417x = 51,619.32 × 9,116.68
  4. Step 4: Simplify right side
    34,417x = 470,596,822.26
  5. Step 5: Solve for x
    x = 470,596,822.26/34,417
  6. Step 6: Final answer
    x = 13,673.38

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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.