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Finding the Fourth Proportional to 6,492.58, 9,737.43 and 2,595.94

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Solution

The fourth proportional to 6,492.58, 9,737.43 and 2,595.94 is: 3,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.58 : 9,737.43 = 2,595.94 : x
  2. Step 2: Convert to fraction form
    6,492.58/9,737.43 = 2,595.94/x
  3. Step 3: Cross multiply
    6,492.58x = 9,737.43 × 2,595.94
  4. Step 4: Simplify right side
    6,492.58x = 25,277,784.03
  5. Step 5: Solve for x
    x = 25,277,784.03/6,492.58
  6. Step 6: Final answer
    x = 3,893.33

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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.