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Finding the Fourth Proportional to 9,543.71, 14,306.00 and 4,537.26

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Solution

The fourth proportional to 9,543.71, 14,306.00 and 4,537.26 is: 6,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.71 : 14,306.00 = 4,537.26 : x
  2. Step 2: Convert to fraction form
    9,543.71/14,306.00 = 4,537.26/x
  3. Step 3: Cross multiply
    9,543.71x = 14,306.00 × 4,537.26
  4. Step 4: Simplify right side
    9,543.71x = 64,910,018.87
  5. Step 5: Solve for x
    x = 64,910,018.87/9,543.71
  6. Step 6: Final answer
    x = 6,801.34

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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.