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Finding the Fourth Proportional to 9,885.52, 14,742.50 and 8,434

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Solution

The fourth proportional to 9,885.52, 14,742.50 and 8,434 is: 12,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.52 : 14,742.50 = 8,434 : x
  2. Step 2: Convert to fraction form
    9,885.52/14,742.50 = 8,434/x
  3. Step 3: Cross multiply
    9,885.52x = 14,742.50 × 8,434
  4. Step 4: Simplify right side
    9,885.52x = 124,338,245
  5. Step 5: Solve for x
    x = 124,338,245/9,885.52
  6. Step 6: Final answer
    x = 12,577.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.