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Finding the Fourth Proportional to 9,730.86, 13,430.19 and 5,539.02

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Solution

The fourth proportional to 9,730.86, 13,430.19 and 5,539.02 is: 7,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.86 : 13,430.19 = 5,539.02 : x
  2. Step 2: Convert to fraction form
    9,730.86/13,430.19 = 5,539.02/x
  3. Step 3: Cross multiply
    9,730.86x = 13,430.19 × 5,539.02
  4. Step 4: Simplify right side
    9,730.86x = 74,390,091.01
  5. Step 5: Solve for x
    x = 74,390,091.01/9,730.86
  6. Step 6: Final answer
    x = 7,644.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.