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Finding the Fourth Proportional to 9,677.34, 14,518.17 and 7,840.26

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Solution

The fourth proportional to 9,677.34, 14,518.17 and 7,840.26 is: 11,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.34 : 14,518.17 = 7,840.26 : x
  2. Step 2: Convert to fraction form
    9,677.34/14,518.17 = 7,840.26/x
  3. Step 3: Cross multiply
    9,677.34x = 14,518.17 × 7,840.26
  4. Step 4: Simplify right side
    9,677.34x = 113,826,227.52
  5. Step 5: Solve for x
    x = 113,826,227.52/9,677.34
  6. Step 6: Final answer
    x = 11,762.14

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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.