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Finding the Fourth Proportional to 9,970.07, 13,758.86 and 5,493.76

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Solution

The fourth proportional to 9,970.07, 13,758.86 and 5,493.76 is: 7,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.07 : 13,758.86 = 5,493.76 : x
  2. Step 2: Convert to fraction form
    9,970.07/13,758.86 = 5,493.76/x
  3. Step 3: Cross multiply
    9,970.07x = 13,758.86 × 5,493.76
  4. Step 4: Simplify right side
    9,970.07x = 75,587,874.71
  5. Step 5: Solve for x
    x = 75,587,874.71/9,970.07
  6. Step 6: Final answer
    x = 7,581.48

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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.