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Finding the Fourth Proportional to 9,945.04, 14,920.52 and 4,102

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Solution

The fourth proportional to 9,945.04, 14,920.52 and 4,102 is: 6,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.04 : 14,920.52 = 4,102 : x
  2. Step 2: Convert to fraction form
    9,945.04/14,920.52 = 4,102/x
  3. Step 3: Cross multiply
    9,945.04x = 14,920.52 × 4,102
  4. Step 4: Simplify right side
    9,945.04x = 61,203,973.04
  5. Step 5: Solve for x
    x = 61,203,973.04/9,945.04
  6. Step 6: Final answer
    x = 6,154.22

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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.