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Finding the Fourth Proportional to 6,438.40, 9,656.04 and 2,972.32

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Solution

The fourth proportional to 6,438.40, 9,656.04 and 2,972.32 is: 4,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.40 : 9,656.04 = 2,972.32 : x
  2. Step 2: Convert to fraction form
    6,438.40/9,656.04 = 2,972.32/x
  3. Step 3: Cross multiply
    6,438.40x = 9,656.04 × 2,972.32
  4. Step 4: Simplify right side
    6,438.40x = 28,700,840.81
  5. Step 5: Solve for x
    x = 28,700,840.81/6,438.40
  6. Step 6: Final answer
    x = 4,457.76

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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.