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Finding the Fourth Proportional to 6,566.66, 9,854.07 and 4,784.42

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Solution

The fourth proportional to 6,566.66, 9,854.07 and 4,784.42 is: 7,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.66 : 9,854.07 = 4,784.42 : x
  2. Step 2: Convert to fraction form
    6,566.66/9,854.07 = 4,784.42/x
  3. Step 3: Cross multiply
    6,566.66x = 9,854.07 × 4,784.42
  4. Step 4: Simplify right side
    6,566.66x = 47,146,009.59
  5. Step 5: Solve for x
    x = 47,146,009.59/6,566.66
  6. Step 6: Final answer
    x = 7,179.60

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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.