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Finding the Fourth Proportional to 9,430.83, 13,009.01 and 5,895.79

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Solution

The fourth proportional to 9,430.83, 13,009.01 and 5,895.79 is: 8,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.83 : 13,009.01 = 5,895.79 : x
  2. Step 2: Convert to fraction form
    9,430.83/13,009.01 = 5,895.79/x
  3. Step 3: Cross multiply
    9,430.83x = 13,009.01 × 5,895.79
  4. Step 4: Simplify right side
    9,430.83x = 76,698,329.07
  5. Step 5: Solve for x
    x = 76,698,329.07/9,430.83
  6. Step 6: Final answer
    x = 8,132.72

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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.