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Finding the Fourth Proportional to 9,618.84, 14,430.11 and 3,043.71

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Solution

The fourth proportional to 9,618.84, 14,430.11 and 3,043.71 is: 4,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.84 : 14,430.11 = 3,043.71 : x
  2. Step 2: Convert to fraction form
    9,618.84/14,430.11 = 3,043.71/x
  3. Step 3: Cross multiply
    9,618.84x = 14,430.11 × 3,043.71
  4. Step 4: Simplify right side
    9,618.84x = 43,921,054.89
  5. Step 5: Solve for x
    x = 43,921,054.89/9,618.84
  6. Step 6: Final answer
    x = 4,566.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.