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Finding the Fourth Proportional to 9,756.12, 13,465.02 and 7,254.84

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Solution

The fourth proportional to 9,756.12, 13,465.02 and 7,254.84 is: 10,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.12 : 13,465.02 = 7,254.84 : x
  2. Step 2: Convert to fraction form
    9,756.12/13,465.02 = 7,254.84/x
  3. Step 3: Cross multiply
    9,756.12x = 13,465.02 × 7,254.84
  4. Step 4: Simplify right side
    9,756.12x = 97,686,565.70
  5. Step 5: Solve for x
    x = 97,686,565.70/9,756.12
  6. Step 6: Final answer
    x = 10,012.85

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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.