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Finding the Fourth Proportional to 9,830.98, 13,567.09 and 5,581.90

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Solution

The fourth proportional to 9,830.98, 13,567.09 and 5,581.90 is: 7,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.98 : 13,567.09 = 5,581.90 : x
  2. Step 2: Convert to fraction form
    9,830.98/13,567.09 = 5,581.90/x
  3. Step 3: Cross multiply
    9,830.98x = 13,567.09 × 5,581.90
  4. Step 4: Simplify right side
    9,830.98x = 75,730,139.67
  5. Step 5: Solve for x
    x = 75,730,139.67/9,830.98
  6. Step 6: Final answer
    x = 7,703.22

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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.