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Finding the Fourth Proportional to 9,826.47, 13,534.71 and 7,553.47

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Solution

The fourth proportional to 9,826.47, 13,534.71 and 7,553.47 is: 10,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.47 : 13,534.71 = 7,553.47 : x
  2. Step 2: Convert to fraction form
    9,826.47/13,534.71 = 7,553.47/x
  3. Step 3: Cross multiply
    9,826.47x = 13,534.71 × 7,553.47
  4. Step 4: Simplify right side
    9,826.47x = 102,233,963.78
  5. Step 5: Solve for x
    x = 102,233,963.78/9,826.47
  6. Step 6: Final answer
    x = 10,403.93

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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.