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Finding the Fourth Proportional to 9,817.40, 13,547.97 and 5,341.07

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Solution

The fourth proportional to 9,817.40, 13,547.97 and 5,341.07 is: 7,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.40 : 13,547.97 = 5,341.07 : x
  2. Step 2: Convert to fraction form
    9,817.40/13,547.97 = 5,341.07/x
  3. Step 3: Cross multiply
    9,817.40x = 13,547.97 × 5,341.07
  4. Step 4: Simplify right side
    9,817.40x = 72,360,588.39
  5. Step 5: Solve for x
    x = 72,360,588.39/9,817.40
  6. Step 6: Final answer
    x = 7,370.65

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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.