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Finding the Fourth Proportional to 9,870.14, 14,808.10 and 3,300.94

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Solution

The fourth proportional to 9,870.14, 14,808.10 and 3,300.94 is: 4,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.14 : 14,808.10 = 3,300.94 : x
  2. Step 2: Convert to fraction form
    9,870.14/14,808.10 = 3,300.94/x
  3. Step 3: Cross multiply
    9,870.14x = 14,808.10 × 3,300.94
  4. Step 4: Simplify right side
    9,870.14x = 48,880,649.61
  5. Step 5: Solve for x
    x = 48,880,649.61/9,870.14
  6. Step 6: Final answer
    x = 4,952.38

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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.