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Finding the Fourth Proportional to 9,070.71, 13,610.25 and 4,141.86

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Solution

The fourth proportional to 9,070.71, 13,610.25 and 4,141.86 is: 6,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070.71 : 13,610.25 = 4,141.86 : x
  2. Step 2: Convert to fraction form
    9,070.71/13,610.25 = 4,141.86/x
  3. Step 3: Cross multiply
    9,070.71x = 13,610.25 × 4,141.86
  4. Step 4: Simplify right side
    9,070.71x = 56,371,750.07
  5. Step 5: Solve for x
    x = 56,371,750.07/9,070.71
  6. Step 6: Final answer
    x = 6,214.70

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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.