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Finding the Fourth Proportional to 10,641.68, 14,677.44 and 9,447.92

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Solution

The fourth proportional to 10,641.68, 14,677.44 and 9,447.92 is: 13,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.68 : 14,677.44 = 9,447.92 : x
  2. Step 2: Convert to fraction form
    10,641.68/14,677.44 = 9,447.92/x
  3. Step 3: Cross multiply
    10,641.68x = 14,677.44 × 9,447.92
  4. Step 4: Simplify right side
    10,641.68x = 138,671,278.92
  5. Step 5: Solve for x
    x = 138,671,278.92/10,641.68
  6. Step 6: Final answer
    x = 13,030.96

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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.