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Finding the Fourth Proportional to 6,437.64, 9,598.80 and 6,321

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Solution

The fourth proportional to 6,437.64, 9,598.80 and 6,321 is: 9,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.64 : 9,598.80 = 6,321 : x
  2. Step 2: Convert to fraction form
    6,437.64/9,598.80 = 6,321/x
  3. Step 3: Cross multiply
    6,437.64x = 9,598.80 × 6,321
  4. Step 4: Simplify right side
    6,437.64x = 60,674,014.80
  5. Step 5: Solve for x
    x = 60,674,014.80/6,437.64
  6. Step 6: Final answer
    x = 9,424.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.