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Finding the Fourth Proportional to 9,780.95, 13,497.64 and 5,304.69

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Solution

The fourth proportional to 9,780.95, 13,497.64 and 5,304.69 is: 7,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.95 : 13,497.64 = 5,304.69 : x
  2. Step 2: Convert to fraction form
    9,780.95/13,497.64 = 5,304.69/x
  3. Step 3: Cross multiply
    9,780.95x = 13,497.64 × 5,304.69
  4. Step 4: Simplify right side
    9,780.95x = 71,600,782.67
  5. Step 5: Solve for x
    x = 71,600,782.67/9,780.95
  6. Step 6: Final answer
    x = 7,320.43

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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.