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Finding the Fourth Proportional to 9,980.37, 14,967.51 and 4,430.25

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Solution

The fourth proportional to 9,980.37, 14,967.51 and 4,430.25 is: 6,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.37 : 14,967.51 = 4,430.25 : x
  2. Step 2: Convert to fraction form
    9,980.37/14,967.51 = 4,430.25/x
  3. Step 3: Cross multiply
    9,980.37x = 14,967.51 × 4,430.25
  4. Step 4: Simplify right side
    9,980.37x = 66,309,811.18
  5. Step 5: Solve for x
    x = 66,309,811.18/9,980.37
  6. Step 6: Final answer
    x = 6,644.02

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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.