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Finding the Fourth Proportional to 6,347.10, 9,501.75 and 4,710.90

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Solution

The fourth proportional to 6,347.10, 9,501.75 and 4,710.90 is: 7,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.10 : 9,501.75 = 4,710.90 : x
  2. Step 2: Convert to fraction form
    6,347.10/9,501.75 = 4,710.90/x
  3. Step 3: Cross multiply
    6,347.10x = 9,501.75 × 4,710.90
  4. Step 4: Simplify right side
    6,347.10x = 44,761,794.08
  5. Step 5: Solve for x
    x = 44,761,794.08/6,347.10
  6. Step 6: Final answer
    x = 7,052.32

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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.