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Finding the Fourth Proportional to 9,578.74, 13,225.17 and 7,061.14

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Solution

The fourth proportional to 9,578.74, 13,225.17 and 7,061.14 is: 9,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.74 : 13,225.17 = 7,061.14 : x
  2. Step 2: Convert to fraction form
    9,578.74/13,225.17 = 7,061.14/x
  3. Step 3: Cross multiply
    9,578.74x = 13,225.17 × 7,061.14
  4. Step 4: Simplify right side
    9,578.74x = 93,384,776.89
  5. Step 5: Solve for x
    x = 93,384,776.89/9,578.74
  6. Step 6: Final answer
    x = 9,749.17

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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.