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Finding the Fourth Proportional to 9,666.63, 14,476.20 and 4,720.32

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Solution

The fourth proportional to 9,666.63, 14,476.20 and 4,720.32 is: 7,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.63 : 14,476.20 = 4,720.32 : x
  2. Step 2: Convert to fraction form
    9,666.63/14,476.20 = 4,720.32/x
  3. Step 3: Cross multiply
    9,666.63x = 14,476.20 × 4,720.32
  4. Step 4: Simplify right side
    9,666.63x = 68,332,296.38
  5. Step 5: Solve for x
    x = 68,332,296.38/9,666.63
  6. Step 6: Final answer
    x = 7,068.89

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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.