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Finding the Fourth Proportional to 10,290.04, 14,227.86 and 9,817

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Solution

The fourth proportional to 10,290.04, 14,227.86 and 9,817 is: 13,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.04 : 14,227.86 = 9,817 : x
  2. Step 2: Convert to fraction form
    10,290.04/14,227.86 = 9,817/x
  3. Step 3: Cross multiply
    10,290.04x = 14,227.86 × 9,817
  4. Step 4: Simplify right side
    10,290.04x = 139,674,901.62
  5. Step 5: Solve for x
    x = 139,674,901.62/10,290.04
  6. Step 6: Final answer
    x = 13,573.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.