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Finding the Fourth Proportional to 9,804.58, 14,709.35 and 4,256.58

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Solution

The fourth proportional to 9,804.58, 14,709.35 and 4,256.58 is: 6,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.58 : 14,709.35 = 4,256.58 : x
  2. Step 2: Convert to fraction form
    9,804.58/14,709.35 = 4,256.58/x
  3. Step 3: Cross multiply
    9,804.58x = 14,709.35 × 4,256.58
  4. Step 4: Simplify right side
    9,804.58x = 62,611,525.02
  5. Step 5: Solve for x
    x = 62,611,525.02/9,804.58
  6. Step 6: Final answer
    x = 6,385.95

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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.