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Finding the Fourth Proportional to 9,642.04, 13,301.22 and 6,492.76

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Solution

The fourth proportional to 9,642.04, 13,301.22 and 6,492.76 is: 8,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.04 : 13,301.22 = 6,492.76 : x
  2. Step 2: Convert to fraction form
    9,642.04/13,301.22 = 6,492.76/x
  3. Step 3: Cross multiply
    9,642.04x = 13,301.22 × 6,492.76
  4. Step 4: Simplify right side
    9,642.04x = 86,361,629.17
  5. Step 5: Solve for x
    x = 86,361,629.17/9,642.04
  6. Step 6: Final answer
    x = 8,956.78

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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.