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Finding the Fourth Proportional to 9,657.74, 13,327.80 and 5,465.90

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Solution

The fourth proportional to 9,657.74, 13,327.80 and 5,465.90 is: 7,543.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.74 : 13,327.80 = 5,465.90 : x
  2. Step 2: Convert to fraction form
    9,657.74/13,327.80 = 5,465.90/x
  3. Step 3: Cross multiply
    9,657.74x = 13,327.80 × 5,465.90
  4. Step 4: Simplify right side
    9,657.74x = 72,848,422.02
  5. Step 5: Solve for x
    x = 72,848,422.02/9,657.74
  6. Step 6: Final answer
    x = 7,543.01

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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.