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Finding the Fourth Proportional to 6,507.02, 9,760.65 and 2,347.34

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Solution

The fourth proportional to 6,507.02, 9,760.65 and 2,347.34 is: 3,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.02 : 9,760.65 = 2,347.34 : x
  2. Step 2: Convert to fraction form
    6,507.02/9,760.65 = 2,347.34/x
  3. Step 3: Cross multiply
    6,507.02x = 9,760.65 × 2,347.34
  4. Step 4: Simplify right side
    6,507.02x = 22,911,564.17
  5. Step 5: Solve for x
    x = 22,911,564.17/6,507.02
  6. Step 6: Final answer
    x = 3,521.05

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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.