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Finding the Fourth Proportional to 7,008.64, 9,671.25 and 4,319.44

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Solution

The fourth proportional to 7,008.64, 9,671.25 and 4,319.44 is: 5,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.64 : 9,671.25 = 4,319.44 : x
  2. Step 2: Convert to fraction form
    7,008.64/9,671.25 = 4,319.44/x
  3. Step 3: Cross multiply
    7,008.64x = 9,671.25 × 4,319.44
  4. Step 4: Simplify right side
    7,008.64x = 41,774,384.10
  5. Step 5: Solve for x
    x = 41,774,384.10/7,008.64
  6. Step 6: Final answer
    x = 5,960.41

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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.