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Finding the Fourth Proportional to 10,346.40, 15,492.48 and 9,491.04

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Solution

The fourth proportional to 10,346.40, 15,492.48 and 9,491.04 is: 14,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.40 : 15,492.48 = 9,491.04 : x
  2. Step 2: Convert to fraction form
    10,346.40/15,492.48 = 9,491.04/x
  3. Step 3: Cross multiply
    10,346.40x = 15,492.48 × 9,491.04
  4. Step 4: Simplify right side
    10,346.40x = 147,039,747.38
  5. Step 5: Solve for x
    x = 147,039,747.38/10,346.40
  6. Step 6: Final answer
    x = 14,211.68

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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.