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Finding the Fourth Proportional to 9,826.60, 14,743.42 and 4,895.80

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Solution

The fourth proportional to 9,826.60, 14,743.42 and 4,895.80 is: 7,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.60 : 14,743.42 = 4,895.80 : x
  2. Step 2: Convert to fraction form
    9,826.60/14,743.42 = 4,895.80/x
  3. Step 3: Cross multiply
    9,826.60x = 14,743.42 × 4,895.80
  4. Step 4: Simplify right side
    9,826.60x = 72,180,835.64
  5. Step 5: Solve for x
    x = 72,180,835.64/9,826.60
  6. Step 6: Final answer
    x = 7,345.45

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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.