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Finding the Fourth Proportional to 9,492.18, 13,098.98 and 5,185.10

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Solution

The fourth proportional to 9,492.18, 13,098.98 and 5,185.10 is: 7,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.18 : 13,098.98 = 5,185.10 : x
  2. Step 2: Convert to fraction form
    9,492.18/13,098.98 = 5,185.10/x
  3. Step 3: Cross multiply
    9,492.18x = 13,098.98 × 5,185.10
  4. Step 4: Simplify right side
    9,492.18x = 67,919,521.20
  5. Step 5: Solve for x
    x = 67,919,521.20/9,492.18
  6. Step 6: Final answer
    x = 7,155.31

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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.