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Finding the Fourth Proportional to 9,537.18, 13,156.63 and 8,276.47

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Solution

The fourth proportional to 9,537.18, 13,156.63 and 8,276.47 is: 11,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.18 : 13,156.63 = 8,276.47 : x
  2. Step 2: Convert to fraction form
    9,537.18/13,156.63 = 8,276.47/x
  3. Step 3: Cross multiply
    9,537.18x = 13,156.63 × 8,276.47
  4. Step 4: Simplify right side
    9,537.18x = 108,890,453.50
  5. Step 5: Solve for x
    x = 108,890,453.50/9,537.18
  6. Step 6: Final answer
    x = 11,417.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.