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Finding the Fourth Proportional to 9,709.98, 14,567.16 and 3,866.46

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Solution

The fourth proportional to 9,709.98, 14,567.16 and 3,866.46 is: 5,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.98 : 14,567.16 = 3,866.46 : x
  2. Step 2: Convert to fraction form
    9,709.98/14,567.16 = 3,866.46/x
  3. Step 3: Cross multiply
    9,709.98x = 14,567.16 × 3,866.46
  4. Step 4: Simplify right side
    9,709.98x = 56,323,341.45
  5. Step 5: Solve for x
    x = 56,323,341.45/9,709.98
  6. Step 6: Final answer
    x = 5,800.56

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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.