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Finding the Fourth Proportional to 9,645, 14,461.02 and 4,448.04

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Solution

The fourth proportional to 9,645, 14,461.02 and 4,448.04 is: 6,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 14,461.02 = 4,448.04 : x
  2. Step 2: Convert to fraction form
    9,645/14,461.02 = 4,448.04/x
  3. Step 3: Cross multiply
    9,645x = 14,461.02 × 4,448.04
  4. Step 4: Simplify right side
    9,645x = 64,323,195.40
  5. Step 5: Solve for x
    x = 64,323,195.40/9,645
  6. Step 6: Final answer
    x = 6,669.07

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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.