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Finding the Fourth Proportional to 9,765.19, 13,476.01 and 5,288.95

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Solution

The fourth proportional to 9,765.19, 13,476.01 and 5,288.95 is: 7,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.19 : 13,476.01 = 5,288.95 : x
  2. Step 2: Convert to fraction form
    9,765.19/13,476.01 = 5,288.95/x
  3. Step 3: Cross multiply
    9,765.19x = 13,476.01 × 5,288.95
  4. Step 4: Simplify right side
    9,765.19x = 71,273,966.55
  5. Step 5: Solve for x
    x = 71,273,966.55/9,765.19
  6. Step 6: Final answer
    x = 7,298.78

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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.