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Finding the Fourth Proportional to 9,902.60, 14,846.70 and 4,056.20

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Solution

The fourth proportional to 9,902.60, 14,846.70 and 4,056.20 is: 6,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.60 : 14,846.70 = 4,056.20 : x
  2. Step 2: Convert to fraction form
    9,902.60/14,846.70 = 4,056.20/x
  3. Step 3: Cross multiply
    9,902.60x = 14,846.70 × 4,056.20
  4. Step 4: Simplify right side
    9,902.60x = 60,221,184.54
  5. Step 5: Solve for x
    x = 60,221,184.54/9,902.60
  6. Step 6: Final answer
    x = 6,081.35

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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.