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Finding the Fourth Proportional to 10,641.06, 14,677.11 and 9,036.63

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Solution

The fourth proportional to 10,641.06, 14,677.11 and 9,036.63 is: 12,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.06 : 14,677.11 = 9,036.63 : x
  2. Step 2: Convert to fraction form
    10,641.06/14,677.11 = 9,036.63/x
  3. Step 3: Cross multiply
    10,641.06x = 14,677.11 × 9,036.63
  4. Step 4: Simplify right side
    10,641.06x = 132,631,612.54
  5. Step 5: Solve for x
    x = 132,631,612.54/10,641.06
  6. Step 6: Final answer
    x = 12,464.14

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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.