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Finding the Fourth Proportional to 9,482.46, 14,214.86 and 4,214.70

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Solution

The fourth proportional to 9,482.46, 14,214.86 and 4,214.70 is: 6,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.46 : 14,214.86 = 4,214.70 : x
  2. Step 2: Convert to fraction form
    9,482.46/14,214.86 = 4,214.70/x
  3. Step 3: Cross multiply
    9,482.46x = 14,214.86 × 4,214.70
  4. Step 4: Simplify right side
    9,482.46x = 59,911,365.17
  5. Step 5: Solve for x
    x = 59,911,365.17/9,482.46
  6. Step 6: Final answer
    x = 6,318.13

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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.