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Finding the Fourth Proportional to 9,483.99, 14,225.98 and 5,613.00

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Solution

The fourth proportional to 9,483.99, 14,225.98 and 5,613.00 is: 8,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.99 : 14,225.98 = 5,613.00 : x
  2. Step 2: Convert to fraction form
    9,483.99/14,225.98 = 5,613.00/x
  3. Step 3: Cross multiply
    9,483.99x = 14,225.98 × 5,613.00
  4. Step 4: Simplify right side
    9,483.99x = 79,850,368.88
  5. Step 5: Solve for x
    x = 79,850,368.88/9,483.99
  6. Step 6: Final answer
    x = 8,419.49

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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.