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Finding the Fourth Proportional to 9,572.34, 14,365.53 and 6,284.28

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Solution

The fourth proportional to 9,572.34, 14,365.53 and 6,284.28 is: 9,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.34 : 14,365.53 = 6,284.28 : x
  2. Step 2: Convert to fraction form
    9,572.34/14,365.53 = 6,284.28/x
  3. Step 3: Cross multiply
    9,572.34x = 14,365.53 × 6,284.28
  4. Step 4: Simplify right side
    9,572.34x = 90,277,012.87
  5. Step 5: Solve for x
    x = 90,277,012.87/9,572.34
  6. Step 6: Final answer
    x = 9,431.03

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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.