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Finding the Fourth Proportional to 9,709.66, 14,567.05 and 3,046.14

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Solution

The fourth proportional to 9,709.66, 14,567.05 and 3,046.14 is: 4,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.66 : 14,567.05 = 3,046.14 : x
  2. Step 2: Convert to fraction form
    9,709.66/14,567.05 = 3,046.14/x
  3. Step 3: Cross multiply
    9,709.66x = 14,567.05 × 3,046.14
  4. Step 4: Simplify right side
    9,709.66x = 44,373,273.69
  5. Step 5: Solve for x
    x = 44,373,273.69/9,709.66
  6. Step 6: Final answer
    x = 4,570.01

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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.