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Finding the Fourth Proportional to 9,492.04, 14,242.92 and 5,113.72

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Solution

The fourth proportional to 9,492.04, 14,242.92 and 5,113.72 is: 7,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.04 : 14,242.92 = 5,113.72 : x
  2. Step 2: Convert to fraction form
    9,492.04/14,242.92 = 5,113.72/x
  3. Step 3: Cross multiply
    9,492.04x = 14,242.92 × 5,113.72
  4. Step 4: Simplify right side
    9,492.04x = 72,834,304.86
  5. Step 5: Solve for x
    x = 72,834,304.86/9,492.04
  6. Step 6: Final answer
    x = 7,673.20

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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.