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Finding the Fourth Proportional to 9,808.63, 14,708.12 and 4,881.06

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Solution

The fourth proportional to 9,808.63, 14,708.12 and 4,881.06 is: 7,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.63 : 14,708.12 = 4,881.06 : x
  2. Step 2: Convert to fraction form
    9,808.63/14,708.12 = 4,881.06/x
  3. Step 3: Cross multiply
    9,808.63x = 14,708.12 × 4,881.06
  4. Step 4: Simplify right side
    9,808.63x = 71,791,191.80
  5. Step 5: Solve for x
    x = 71,791,191.80/9,808.63
  6. Step 6: Final answer
    x = 7,319.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.