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Finding the Fourth Proportional to 9,294.69, 13,946.69 and 8,070.51

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Solution

The fourth proportional to 9,294.69, 13,946.69 and 8,070.51 is: 12,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.69 : 13,946.69 = 8,070.51 : x
  2. Step 2: Convert to fraction form
    9,294.69/13,946.69 = 8,070.51/x
  3. Step 3: Cross multiply
    9,294.69x = 13,946.69 × 8,070.51
  4. Step 4: Simplify right side
    9,294.69x = 112,556,901.11
  5. Step 5: Solve for x
    x = 112,556,901.11/9,294.69
  6. Step 6: Final answer
    x = 12,109.81

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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.