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Finding the Fourth Proportional to 9,341.59, 13,987.65 and 7,705.44

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Solution

The fourth proportional to 9,341.59, 13,987.65 and 7,705.44 is: 11,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.59 : 13,987.65 = 7,705.44 : x
  2. Step 2: Convert to fraction form
    9,341.59/13,987.65 = 7,705.44/x
  3. Step 3: Cross multiply
    9,341.59x = 13,987.65 × 7,705.44
  4. Step 4: Simplify right side
    9,341.59x = 107,780,997.82
  5. Step 5: Solve for x
    x = 107,780,997.82/9,341.59
  6. Step 6: Final answer
    x = 11,537.76

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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.