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Finding the Fourth Proportional to 9,932.99, 13,707.90 and 5,457.15

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Solution

The fourth proportional to 9,932.99, 13,707.90 and 5,457.15 is: 7,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.99 : 13,707.90 = 5,457.15 : x
  2. Step 2: Convert to fraction form
    9,932.99/13,707.90 = 5,457.15/x
  3. Step 3: Cross multiply
    9,932.99x = 13,707.90 × 5,457.15
  4. Step 4: Simplify right side
    9,932.99x = 74,806,066.49
  5. Step 5: Solve for x
    x = 74,806,066.49/9,932.99
  6. Step 6: Final answer
    x = 7,531.08

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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.