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Finding the Fourth Proportional to 9,477.06, 14,208.56 and 4,542

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Solution

The fourth proportional to 9,477.06, 14,208.56 and 4,542 is: 6,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.06 : 14,208.56 = 4,542 : x
  2. Step 2: Convert to fraction form
    9,477.06/14,208.56 = 4,542/x
  3. Step 3: Cross multiply
    9,477.06x = 14,208.56 × 4,542
  4. Step 4: Simplify right side
    9,477.06x = 64,535,279.52
  5. Step 5: Solve for x
    x = 64,535,279.52/9,477.06
  6. Step 6: Final answer
    x = 6,809.63

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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.