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Finding the Fourth Proportional to 9,967.19, 13,756.66 and 5,720.77

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Solution

The fourth proportional to 9,967.19, 13,756.66 and 5,720.77 is: 7,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.19 : 13,756.66 = 5,720.77 : x
  2. Step 2: Convert to fraction form
    9,967.19/13,756.66 = 5,720.77/x
  3. Step 3: Cross multiply
    9,967.19x = 13,756.66 × 5,720.77
  4. Step 4: Simplify right side
    9,967.19x = 78,698,639.13
  5. Step 5: Solve for x
    x = 78,698,639.13/9,967.19
  6. Step 6: Final answer
    x = 7,895.77

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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.