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Finding the Fourth Proportional to 10,282.94, 15,430.55 and 9,446.40

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Solution

The fourth proportional to 10,282.94, 15,430.55 and 9,446.40 is: 14,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.94 : 15,430.55 = 9,446.40 : x
  2. Step 2: Convert to fraction form
    10,282.94/15,430.55 = 9,446.40/x
  3. Step 3: Cross multiply
    10,282.94x = 15,430.55 × 9,446.40
  4. Step 4: Simplify right side
    10,282.94x = 145,763,100.29
  5. Step 5: Solve for x
    x = 145,763,100.29/10,282.94
  6. Step 6: Final answer
    x = 14,175.24

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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.