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Finding the Fourth Proportional to 9,777.33, 13,492.65 and 5,301.18

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Solution

The fourth proportional to 9,777.33, 13,492.65 and 5,301.18 is: 7,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.33 : 13,492.65 = 5,301.18 : x
  2. Step 2: Convert to fraction form
    9,777.33/13,492.65 = 5,301.18/x
  3. Step 3: Cross multiply
    9,777.33x = 13,492.65 × 5,301.18
  4. Step 4: Simplify right side
    9,777.33x = 71,526,966.33
  5. Step 5: Solve for x
    x = 71,526,966.33/9,777.33
  6. Step 6: Final answer
    x = 7,315.59

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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.