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Finding the Fourth Proportional to 9,830.22, 14,743.08 and 2,810.10

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Solution

The fourth proportional to 9,830.22, 14,743.08 and 2,810.10 is: 4,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.22 : 14,743.08 = 2,810.10 : x
  2. Step 2: Convert to fraction form
    9,830.22/14,743.08 = 2,810.10/x
  3. Step 3: Cross multiply
    9,830.22x = 14,743.08 × 2,810.10
  4. Step 4: Simplify right side
    9,830.22x = 41,429,529.11
  5. Step 5: Solve for x
    x = 41,429,529.11/9,830.22
  6. Step 6: Final answer
    x = 4,214.51

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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.