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Finding the Fourth Proportional to 9,645.40, 14,464.98 and 3,070.05

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Solution

The fourth proportional to 9,645.40, 14,464.98 and 3,070.05 is: 4,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.40 : 14,464.98 = 3,070.05 : x
  2. Step 2: Convert to fraction form
    9,645.40/14,464.98 = 3,070.05/x
  3. Step 3: Cross multiply
    9,645.40x = 14,464.98 × 3,070.05
  4. Step 4: Simplify right side
    9,645.40x = 44,408,211.85
  5. Step 5: Solve for x
    x = 44,408,211.85/9,645.40
  6. Step 6: Final answer
    x = 4,604.08

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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.