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Finding the Fourth Proportional to 9,407.10, 14,110.65 and 5,178.90

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Solution

The fourth proportional to 9,407.10, 14,110.65 and 5,178.90 is: 7,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.10 : 14,110.65 = 5,178.90 : x
  2. Step 2: Convert to fraction form
    9,407.10/14,110.65 = 5,178.90/x
  3. Step 3: Cross multiply
    9,407.10x = 14,110.65 × 5,178.90
  4. Step 4: Simplify right side
    9,407.10x = 73,077,645.29
  5. Step 5: Solve for x
    x = 73,077,645.29/9,407.10
  6. Step 6: Final answer
    x = 7,768.35

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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.