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Finding the Fourth Proportional to 9,819, 14,728.64 and 5,445

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Solution

The fourth proportional to 9,819, 14,728.64 and 5,445 is: 8,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 14,728.64 = 5,445 : x
  2. Step 2: Convert to fraction form
    9,819/14,728.64 = 5,445/x
  3. Step 3: Cross multiply
    9,819x = 14,728.64 × 5,445
  4. Step 4: Simplify right side
    9,819x = 80,197,417.58
  5. Step 5: Solve for x
    x = 80,197,417.58/9,819
  6. Step 6: Final answer
    x = 8,167.57

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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.