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Finding the Fourth Proportional to 9,420.60, 14,111.70 and 5,460.30

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Solution

The fourth proportional to 9,420.60, 14,111.70 and 5,460.30 is: 8,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.60 : 14,111.70 = 5,460.30 : x
  2. Step 2: Convert to fraction form
    9,420.60/14,111.70 = 5,460.30/x
  3. Step 3: Cross multiply
    9,420.60x = 14,111.70 × 5,460.30
  4. Step 4: Simplify right side
    9,420.60x = 77,054,115.51
  5. Step 5: Solve for x
    x = 77,054,115.51/9,420.60
  6. Step 6: Final answer
    x = 8,179.32

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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.