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Finding the Fourth Proportional to 9,823.52, 13,569.72 and 9,123.68

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Solution

The fourth proportional to 9,823.52, 13,569.72 and 9,123.68 is: 12,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.52 : 13,569.72 = 9,123.68 : x
  2. Step 2: Convert to fraction form
    9,823.52/13,569.72 = 9,123.68/x
  3. Step 3: Cross multiply
    9,823.52x = 13,569.72 × 9,123.68
  4. Step 4: Simplify right side
    9,823.52x = 123,805,782.97
  5. Step 5: Solve for x
    x = 123,805,782.97/9,823.52
  6. Step 6: Final answer
    x = 12,603.00

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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.