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Finding the Fourth Proportional to 9,675.58, 13,339.94 and 6,266.57

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Solution

The fourth proportional to 9,675.58, 13,339.94 and 6,266.57 is: 8,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.58 : 13,339.94 = 6,266.57 : x
  2. Step 2: Convert to fraction form
    9,675.58/13,339.94 = 6,266.57/x
  3. Step 3: Cross multiply
    9,675.58x = 13,339.94 × 6,266.57
  4. Step 4: Simplify right side
    9,675.58x = 83,595,569.77
  5. Step 5: Solve for x
    x = 83,595,569.77/9,675.58
  6. Step 6: Final answer
    x = 8,639.85

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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.