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Finding the Fourth Proportional to 9,965.40, 14,948.10 and 4,781.40

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Solution

The fourth proportional to 9,965.40, 14,948.10 and 4,781.40 is: 7,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.40 : 14,948.10 = 4,781.40 : x
  2. Step 2: Convert to fraction form
    9,965.40/14,948.10 = 4,781.40/x
  3. Step 3: Cross multiply
    9,965.40x = 14,948.10 × 4,781.40
  4. Step 4: Simplify right side
    9,965.40x = 71,472,845.34
  5. Step 5: Solve for x
    x = 71,472,845.34/9,965.40
  6. Step 6: Final answer
    x = 7,172.10

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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.