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Finding the Fourth Proportional to 9,817.50, 13,547.76 and 5,341.25

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Solution

The fourth proportional to 9,817.50, 13,547.76 and 5,341.25 is: 7,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.50 : 13,547.76 = 5,341.25 : x
  2. Step 2: Convert to fraction form
    9,817.50/13,547.76 = 5,341.25/x
  3. Step 3: Cross multiply
    9,817.50x = 13,547.76 × 5,341.25
  4. Step 4: Simplify right side
    9,817.50x = 72,361,986.94
  5. Step 5: Solve for x
    x = 72,361,986.94/9,817.50
  6. Step 6: Final answer
    x = 7,370.71

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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.