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Finding the Fourth Proportional to 9,123.64, 13,669.05 and 8,483.94

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Solution

The fourth proportional to 9,123.64, 13,669.05 and 8,483.94 is: 12,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.64 : 13,669.05 = 8,483.94 : x
  2. Step 2: Convert to fraction form
    9,123.64/13,669.05 = 8,483.94/x
  3. Step 3: Cross multiply
    9,123.64x = 13,669.05 × 8,483.94
  4. Step 4: Simplify right side
    9,123.64x = 115,967,400.06
  5. Step 5: Solve for x
    x = 115,967,400.06/9,123.64
  6. Step 6: Final answer
    x = 12,710.65

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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.