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Finding the Fourth Proportional to 9,710.88, 14,565.48 and 4,164.84

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Solution

The fourth proportional to 9,710.88, 14,565.48 and 4,164.84 is: 6,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.88 : 14,565.48 = 4,164.84 : x
  2. Step 2: Convert to fraction form
    9,710.88/14,565.48 = 4,164.84/x
  3. Step 3: Cross multiply
    9,710.88x = 14,565.48 × 4,164.84
  4. Step 4: Simplify right side
    9,710.88x = 60,662,893.72
  5. Step 5: Solve for x
    x = 60,662,893.72/9,710.88
  6. Step 6: Final answer
    x = 6,246.90

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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.