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Finding the Fourth Proportional to 9,985.47, 14,980.51 and 2,965.33

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Solution

The fourth proportional to 9,985.47, 14,980.51 and 2,965.33 is: 4,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.47 : 14,980.51 = 2,965.33 : x
  2. Step 2: Convert to fraction form
    9,985.47/14,980.51 = 2,965.33/x
  3. Step 3: Cross multiply
    9,985.47x = 14,980.51 × 2,965.33
  4. Step 4: Simplify right side
    9,985.47x = 44,422,065.99
  5. Step 5: Solve for x
    x = 44,422,065.99/9,985.47
  6. Step 6: Final answer
    x = 4,448.67

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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.