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Finding the Fourth Proportional to 9,322.95, 13,974.33 and 4,646.46

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Solution

The fourth proportional to 9,322.95, 13,974.33 and 4,646.46 is: 6,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.95 : 13,974.33 = 4,646.46 : x
  2. Step 2: Convert to fraction form
    9,322.95/13,974.33 = 4,646.46/x
  3. Step 3: Cross multiply
    9,322.95x = 13,974.33 × 4,646.46
  4. Step 4: Simplify right side
    9,322.95x = 64,931,165.37
  5. Step 5: Solve for x
    x = 64,931,165.37/9,322.95
  6. Step 6: Final answer
    x = 6,964.66

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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.