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Finding the Fourth Proportional to 9,637.64, 14,451.54 and 4,439

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Solution

The fourth proportional to 9,637.64, 14,451.54 and 4,439 is: 6,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.64 : 14,451.54 = 4,439 : x
  2. Step 2: Convert to fraction form
    9,637.64/14,451.54 = 4,439/x
  3. Step 3: Cross multiply
    9,637.64x = 14,451.54 × 4,439
  4. Step 4: Simplify right side
    9,637.64x = 64,150,386.06
  5. Step 5: Solve for x
    x = 64,150,386.06/9,637.64
  6. Step 6: Final answer
    x = 6,656.23

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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.