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Finding the Fourth Proportional to 9,881.40, 14,812.65 and 4,946.07

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Solution

The fourth proportional to 9,881.40, 14,812.65 and 4,946.07 is: 7,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.40 : 14,812.65 = 4,946.07 : x
  2. Step 2: Convert to fraction form
    9,881.40/14,812.65 = 4,946.07/x
  3. Step 3: Cross multiply
    9,881.40x = 14,812.65 × 4,946.07
  4. Step 4: Simplify right side
    9,881.40x = 73,264,403.79
  5. Step 5: Solve for x
    x = 73,264,403.79/9,881.40
  6. Step 6: Final answer
    x = 7,414.37

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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.