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Finding the Fourth Proportional to 9,810.02, 13,534.06 and 7,263.84

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Solution

The fourth proportional to 9,810.02, 13,534.06 and 7,263.84 is: 10,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.02 : 13,534.06 = 7,263.84 : x
  2. Step 2: Convert to fraction form
    9,810.02/13,534.06 = 7,263.84/x
  3. Step 3: Cross multiply
    9,810.02x = 13,534.06 × 7,263.84
  4. Step 4: Simplify right side
    9,810.02x = 98,309,246.39
  5. Step 5: Solve for x
    x = 98,309,246.39/9,810.02
  6. Step 6: Final answer
    x = 10,021.31

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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.