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Finding the Fourth Proportional to 9,086.48, 13,620 and 4,699.52

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Solution

The fourth proportional to 9,086.48, 13,620 and 4,699.52 is: 7,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.48 : 13,620 = 4,699.52 : x
  2. Step 2: Convert to fraction form
    9,086.48/13,620 = 4,699.52/x
  3. Step 3: Cross multiply
    9,086.48x = 13,620 × 4,699.52
  4. Step 4: Simplify right side
    9,086.48x = 64,007,462.40
  5. Step 5: Solve for x
    x = 64,007,462.40/9,086.48
  6. Step 6: Final answer
    x = 7,044.25

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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.