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Finding the Fourth Proportional to 9,777.24, 13,492.44 and 5,301

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Solution

The fourth proportional to 9,777.24, 13,492.44 and 5,301 is: 7,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.24 : 13,492.44 = 5,301 : x
  2. Step 2: Convert to fraction form
    9,777.24/13,492.44 = 5,301/x
  3. Step 3: Cross multiply
    9,777.24x = 13,492.44 × 5,301
  4. Step 4: Simplify right side
    9,777.24x = 71,523,424.44
  5. Step 5: Solve for x
    x = 71,523,424.44/9,777.24
  6. Step 6: Final answer
    x = 7,315.30

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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.