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Finding the Fourth Proportional to 9,675.78, 14,513.64 and 2,655.87

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Solution

The fourth proportional to 9,675.78, 14,513.64 and 2,655.87 is: 3,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.78 : 14,513.64 = 2,655.87 : x
  2. Step 2: Convert to fraction form
    9,675.78/14,513.64 = 2,655.87/x
  3. Step 3: Cross multiply
    9,675.78x = 14,513.64 × 2,655.87
  4. Step 4: Simplify right side
    9,675.78x = 38,546,341.07
  5. Step 5: Solve for x
    x = 38,546,341.07/9,675.78
  6. Step 6: Final answer
    x = 3,983.80

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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.