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Finding the Fourth Proportional to 9,364.34, 14,041.80 and 3,122.14

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Solution

The fourth proportional to 9,364.34, 14,041.80 and 3,122.14 is: 4,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.34 : 14,041.80 = 3,122.14 : x
  2. Step 2: Convert to fraction form
    9,364.34/14,041.80 = 3,122.14/x
  3. Step 3: Cross multiply
    9,364.34x = 14,041.80 × 3,122.14
  4. Step 4: Simplify right side
    9,364.34x = 43,840,465.45
  5. Step 5: Solve for x
    x = 43,840,465.45/9,364.34
  6. Step 6: Final answer
    x = 4,681.64

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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.