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Finding the Fourth Proportional to 9,699.30, 13,391.37 and 7,457.04

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Solution

The fourth proportional to 9,699.30, 13,391.37 and 7,457.04 is: 10,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.30 : 13,391.37 = 7,457.04 : x
  2. Step 2: Convert to fraction form
    9,699.30/13,391.37 = 7,457.04/x
  3. Step 3: Cross multiply
    9,699.30x = 13,391.37 × 7,457.04
  4. Step 4: Simplify right side
    9,699.30x = 99,859,981.74
  5. Step 5: Solve for x
    x = 99,859,981.74/9,699.30
  6. Step 6: Final answer
    x = 10,295.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.