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Finding the Fourth Proportional to 9,810.62, 14,713.04 and 4,262.63

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Solution

The fourth proportional to 9,810.62, 14,713.04 and 4,262.63 is: 6,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.62 : 14,713.04 = 4,262.63 : x
  2. Step 2: Convert to fraction form
    9,810.62/14,713.04 = 4,262.63/x
  3. Step 3: Cross multiply
    9,810.62x = 14,713.04 × 4,262.63
  4. Step 4: Simplify right side
    9,810.62x = 62,716,182.79
  5. Step 5: Solve for x
    x = 62,716,182.79/9,810.62
  6. Step 6: Final answer
    x = 6,392.68

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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.