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Finding the Fourth Proportional to 9,800.18, 14,705.01 and 6,101.42

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Solution

The fourth proportional to 9,800.18, 14,705.01 and 6,101.42 is: 9,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.18 : 14,705.01 = 6,101.42 : x
  2. Step 2: Convert to fraction form
    9,800.18/14,705.01 = 6,101.42/x
  3. Step 3: Cross multiply
    9,800.18x = 14,705.01 × 6,101.42
  4. Step 4: Simplify right side
    9,800.18x = 89,721,442.11
  5. Step 5: Solve for x
    x = 89,721,442.11/9,800.18
  6. Step 6: Final answer
    x = 9,155.08

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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.