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Finding the Fourth Proportional to 9,931.10, 14,908.80 and 5,492.30

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Solution

The fourth proportional to 9,931.10, 14,908.80 and 5,492.30 is: 8,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.10 : 14,908.80 = 5,492.30 : x
  2. Step 2: Convert to fraction form
    9,931.10/14,908.80 = 5,492.30/x
  3. Step 3: Cross multiply
    9,931.10x = 14,908.80 × 5,492.30
  4. Step 4: Simplify right side
    9,931.10x = 81,883,602.24
  5. Step 5: Solve for x
    x = 81,883,602.24/9,931.10
  6. Step 6: Final answer
    x = 8,245.17

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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.