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Finding the Fourth Proportional to 6,455.56, 9,686.58 and 4,894.96

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Solution

The fourth proportional to 6,455.56, 9,686.58 and 4,894.96 is: 7,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.56 : 9,686.58 = 4,894.96 : x
  2. Step 2: Convert to fraction form
    6,455.56/9,686.58 = 4,894.96/x
  3. Step 3: Cross multiply
    6,455.56x = 9,686.58 × 4,894.96
  4. Step 4: Simplify right side
    6,455.56x = 47,415,421.64
  5. Step 5: Solve for x
    x = 47,415,421.64/6,455.56
  6. Step 6: Final answer
    x = 7,344.90

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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.