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Finding the Fourth Proportional to 6,497.60, 9,750.13 and 6,444.75

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Solution

The fourth proportional to 6,497.60, 9,750.13 and 6,444.75 is: 9,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.60 : 9,750.13 = 6,444.75 : x
  2. Step 2: Convert to fraction form
    6,497.60/9,750.13 = 6,444.75/x
  3. Step 3: Cross multiply
    6,497.60x = 9,750.13 × 6,444.75
  4. Step 4: Simplify right side
    6,497.60x = 62,837,134.21
  5. Step 5: Solve for x
    x = 62,837,134.21/6,497.60
  6. Step 6: Final answer
    x = 9,670.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.