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Finding the Fourth Proportional to 9,765.20, 14,641.59 and 8,284.93

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Solution

The fourth proportional to 9,765.20, 14,641.59 and 8,284.93 is: 12,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.20 : 14,641.59 = 8,284.93 : x
  2. Step 2: Convert to fraction form
    9,765.20/14,641.59 = 8,284.93/x
  3. Step 3: Cross multiply
    9,765.20x = 14,641.59 × 8,284.93
  4. Step 4: Simplify right side
    9,765.20x = 121,304,590.11
  5. Step 5: Solve for x
    x = 121,304,590.11/9,765.20
  6. Step 6: Final answer
    x = 12,422.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.