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Finding the Fourth Proportional to 9,857.76, 13,594.59 and 7,346.04

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Solution

The fourth proportional to 9,857.76, 13,594.59 and 7,346.04 is: 10,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.76 : 13,594.59 = 7,346.04 : x
  2. Step 2: Convert to fraction form
    9,857.76/13,594.59 = 7,346.04/x
  3. Step 3: Cross multiply
    9,857.76x = 13,594.59 × 7,346.04
  4. Step 4: Simplify right side
    9,857.76x = 99,866,401.92
  5. Step 5: Solve for x
    x = 99,866,401.92/9,857.76
  6. Step 6: Final answer
    x = 10,130.74

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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.