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Finding the Fourth Proportional to 9,430.65, 13,010.49 and 5,653.98

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Solution

The fourth proportional to 9,430.65, 13,010.49 and 5,653.98 is: 7,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.65 : 13,010.49 = 5,653.98 : x
  2. Step 2: Convert to fraction form
    9,430.65/13,010.49 = 5,653.98/x
  3. Step 3: Cross multiply
    9,430.65x = 13,010.49 × 5,653.98
  4. Step 4: Simplify right side
    9,430.65x = 73,561,050.25
  5. Step 5: Solve for x
    x = 73,561,050.25/9,430.65
  6. Step 6: Final answer
    x = 7,800.21

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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.