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Finding the Fourth Proportional to 10,429.63, 14,386.26 and 6,844.82

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Solution

The fourth proportional to 10,429.63, 14,386.26 and 6,844.82 is: 9,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.63 : 14,386.26 = 6,844.82 : x
  2. Step 2: Convert to fraction form
    10,429.63/14,386.26 = 6,844.82/x
  3. Step 3: Cross multiply
    10,429.63x = 14,386.26 × 6,844.82
  4. Step 4: Simplify right side
    10,429.63x = 98,471,360.17
  5. Step 5: Solve for x
    x = 98,471,360.17/10,429.63
  6. Step 6: Final answer
    x = 9,441.50

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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.