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Finding the Fourth Proportional to 9,780.51, 13,497.08 and 5,304.24

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Solution

The fourth proportional to 9,780.51, 13,497.08 and 5,304.24 is: 7,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.51 : 13,497.08 = 5,304.24 : x
  2. Step 2: Convert to fraction form
    9,780.51/13,497.08 = 5,304.24/x
  3. Step 3: Cross multiply
    9,780.51x = 13,497.08 × 5,304.24
  4. Step 4: Simplify right side
    9,780.51x = 71,591,725.10
  5. Step 5: Solve for x
    x = 71,591,725.10/9,780.51
  6. Step 6: Final answer
    x = 7,319.84

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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.