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Finding the Fourth Proportional to 9,492.96, 14,252.40 and 6,045.60

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Solution

The fourth proportional to 9,492.96, 14,252.40 and 6,045.60 is: 9,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.96 : 14,252.40 = 6,045.60 : x
  2. Step 2: Convert to fraction form
    9,492.96/14,252.40 = 6,045.60/x
  3. Step 3: Cross multiply
    9,492.96x = 14,252.40 × 6,045.60
  4. Step 4: Simplify right side
    9,492.96x = 86,164,309.44
  5. Step 5: Solve for x
    x = 86,164,309.44/9,492.96
  6. Step 6: Final answer
    x = 9,076.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.