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Finding the Fourth Proportional to 9,851.60, 14,777.40 and 4,913.84

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Solution

The fourth proportional to 9,851.60, 14,777.40 and 4,913.84 is: 7,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.60 : 14,777.40 = 4,913.84 : x
  2. Step 2: Convert to fraction form
    9,851.60/14,777.40 = 4,913.84/x
  3. Step 3: Cross multiply
    9,851.60x = 14,777.40 × 4,913.84
  4. Step 4: Simplify right side
    9,851.60x = 72,613,779.22
  5. Step 5: Solve for x
    x = 72,613,779.22/9,851.60
  6. Step 6: Final answer
    x = 7,370.76

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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.