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Finding the Fourth Proportional to 9,804.84, 13,521.51 and 7,563.18

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Solution

The fourth proportional to 9,804.84, 13,521.51 and 7,563.18 is: 10,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.84 : 13,521.51 = 7,563.18 : x
  2. Step 2: Convert to fraction form
    9,804.84/13,521.51 = 7,563.18/x
  3. Step 3: Cross multiply
    9,804.84x = 13,521.51 × 7,563.18
  4. Step 4: Simplify right side
    9,804.84x = 102,265,614.00
  5. Step 5: Solve for x
    x = 102,265,614.00/9,804.84
  6. Step 6: Final answer
    x = 10,430.12

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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.