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Finding the Fourth Proportional to 6,455.30, 9,701.62 and 4,277.86

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Solution

The fourth proportional to 6,455.30, 9,701.62 and 4,277.86 is: 6,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.30 : 9,701.62 = 4,277.86 : x
  2. Step 2: Convert to fraction form
    6,455.30/9,701.62 = 4,277.86/x
  3. Step 3: Cross multiply
    6,455.30x = 9,701.62 × 4,277.86
  4. Step 4: Simplify right side
    6,455.30x = 41,502,215.82
  5. Step 5: Solve for x
    x = 41,502,215.82/6,455.30
  6. Step 6: Final answer
    x = 6,429.17

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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.