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Finding the Fourth Proportional to 9,777.09, 13,492.33 and 5,300.76

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Solution

The fourth proportional to 9,777.09, 13,492.33 and 5,300.76 is: 7,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.09 : 13,492.33 = 5,300.76 : x
  2. Step 2: Convert to fraction form
    9,777.09/13,492.33 = 5,300.76/x
  3. Step 3: Cross multiply
    9,777.09x = 13,492.33 × 5,300.76
  4. Step 4: Simplify right side
    9,777.09x = 71,519,603.17
  5. Step 5: Solve for x
    x = 71,519,603.17/9,777.09
  6. Step 6: Final answer
    x = 7,315.02

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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.