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Finding the Fourth Proportional to 9,699.09, 14,541.22 and 4,430.43

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Solution

The fourth proportional to 9,699.09, 14,541.22 and 4,430.43 is: 6,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.09 : 14,541.22 = 4,430.43 : x
  2. Step 2: Convert to fraction form
    9,699.09/14,541.22 = 4,430.43/x
  3. Step 3: Cross multiply
    9,699.09x = 14,541.22 × 4,430.43
  4. Step 4: Simplify right side
    9,699.09x = 64,423,857.32
  5. Step 5: Solve for x
    x = 64,423,857.32/9,699.09
  6. Step 6: Final answer
    x = 6,642.26

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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.