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Finding the Fourth Proportional to 9,970.58, 14,941.77 and 5,530.21

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Solution

The fourth proportional to 9,970.58, 14,941.77 and 5,530.21 is: 8,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.58 : 14,941.77 = 5,530.21 : x
  2. Step 2: Convert to fraction form
    9,970.58/14,941.77 = 5,530.21/x
  3. Step 3: Cross multiply
    9,970.58x = 14,941.77 × 5,530.21
  4. Step 4: Simplify right side
    9,970.58x = 82,631,125.87
  5. Step 5: Solve for x
    x = 82,631,125.87/9,970.58
  6. Step 6: Final answer
    x = 8,287.49

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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.