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Finding the Fourth Proportional to 9,813.65, 14,731.40 and 4,881.96

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Solution

The fourth proportional to 9,813.65, 14,731.40 and 4,881.96 is: 7,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.65 : 14,731.40 = 4,881.96 : x
  2. Step 2: Convert to fraction form
    9,813.65/14,731.40 = 4,881.96/x
  3. Step 3: Cross multiply
    9,813.65x = 14,731.40 × 4,881.96
  4. Step 4: Simplify right side
    9,813.65x = 71,918,081.13
  5. Step 5: Solve for x
    x = 71,918,081.13/9,813.65
  6. Step 6: Final answer
    x = 7,328.38

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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.