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Finding the Fourth Proportional to 9,825.60, 14,741.92 and 4,894.80

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Solution

The fourth proportional to 9,825.60, 14,741.92 and 4,894.80 is: 7,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.60 : 14,741.92 = 4,894.80 : x
  2. Step 2: Convert to fraction form
    9,825.60/14,741.92 = 4,894.80/x
  3. Step 3: Cross multiply
    9,825.60x = 14,741.92 × 4,894.80
  4. Step 4: Simplify right side
    9,825.60x = 72,158,750.02
  5. Step 5: Solve for x
    x = 72,158,750.02/9,825.60
  6. Step 6: Final answer
    x = 7,343.95

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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.