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Finding the Fourth Proportional to 9,756.11, 13,460.12 and 5,506.67

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Solution

The fourth proportional to 9,756.11, 13,460.12 and 5,506.67 is: 7,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.11 : 13,460.12 = 5,506.67 : x
  2. Step 2: Convert to fraction form
    9,756.11/13,460.12 = 5,506.67/x
  3. Step 3: Cross multiply
    9,756.11x = 13,460.12 × 5,506.67
  4. Step 4: Simplify right side
    9,756.11x = 74,120,465.77
  5. Step 5: Solve for x
    x = 74,120,465.77/9,756.11
  6. Step 6: Final answer
    x = 7,597.34

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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.