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Finding the Fourth Proportional to 9,970.08, 14,950.53 and 3,394.50

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Solution

The fourth proportional to 9,970.08, 14,950.53 and 3,394.50 is: 5,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.08 : 14,950.53 = 3,394.50 : x
  2. Step 2: Convert to fraction form
    9,970.08/14,950.53 = 3,394.50/x
  3. Step 3: Cross multiply
    9,970.08x = 14,950.53 × 3,394.50
  4. Step 4: Simplify right side
    9,970.08x = 50,749,574.09
  5. Step 5: Solve for x
    x = 50,749,574.09/9,970.08
  6. Step 6: Final answer
    x = 5,090.19

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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.