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Finding the Fourth Proportional to 11,493.44, 15,854.72 and 9,492.16

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Solution

The fourth proportional to 11,493.44, 15,854.72 and 9,492.16 is: 13,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.44 : 15,854.72 = 9,492.16 : x
  2. Step 2: Convert to fraction form
    11,493.44/15,854.72 = 9,492.16/x
  3. Step 3: Cross multiply
    11,493.44x = 15,854.72 × 9,492.16
  4. Step 4: Simplify right side
    11,493.44x = 150,495,539.00
  5. Step 5: Solve for x
    x = 150,495,539.00/11,493.44
  6. Step 6: Final answer
    x = 13,094.04

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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.