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Finding the Fourth Proportional to 9,430.40, 14,145.60 and 7,972.40

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Solution

The fourth proportional to 9,430.40, 14,145.60 and 7,972.40 is: 11,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.40 : 14,145.60 = 7,972.40 : x
  2. Step 2: Convert to fraction form
    9,430.40/14,145.60 = 7,972.40/x
  3. Step 3: Cross multiply
    9,430.40x = 14,145.60 × 7,972.40
  4. Step 4: Simplify right side
    9,430.40x = 112,774,381.44
  5. Step 5: Solve for x
    x = 112,774,381.44/9,430.40
  6. Step 6: Final answer
    x = 11,958.60

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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.