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Finding the Fourth Proportional to 7,106.64, 9,754.98 and 6,303.12

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Solution

The fourth proportional to 7,106.64, 9,754.98 and 6,303.12 is: 8,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.64 : 9,754.98 = 6,303.12 : x
  2. Step 2: Convert to fraction form
    7,106.64/9,754.98 = 6,303.12/x
  3. Step 3: Cross multiply
    7,106.64x = 9,754.98 × 6,303.12
  4. Step 4: Simplify right side
    7,106.64x = 61,486,809.54
  5. Step 5: Solve for x
    x = 61,486,809.54/7,106.64
  6. Step 6: Final answer
    x = 8,652.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.