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Finding the Fourth Proportional to 9,777.28, 13,492.80 and 5,585.44

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Solution

The fourth proportional to 9,777.28, 13,492.80 and 5,585.44 is: 7,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.28 : 13,492.80 = 5,585.44 : x
  2. Step 2: Convert to fraction form
    9,777.28/13,492.80 = 5,585.44/x
  3. Step 3: Cross multiply
    9,777.28x = 13,492.80 × 5,585.44
  4. Step 4: Simplify right side
    9,777.28x = 75,363,224.83
  5. Step 5: Solve for x
    x = 75,363,224.83/9,777.28
  6. Step 6: Final answer
    x = 7,707.99

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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.