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Finding the Fourth Proportional to 6,415.16, 9,626.34 and 2,952.68

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Solution

The fourth proportional to 6,415.16, 9,626.34 and 2,952.68 is: 4,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.16 : 9,626.34 = 2,952.68 : x
  2. Step 2: Convert to fraction form
    6,415.16/9,626.34 = 2,952.68/x
  3. Step 3: Cross multiply
    6,415.16x = 9,626.34 × 2,952.68
  4. Step 4: Simplify right side
    6,415.16x = 28,423,501.59
  5. Step 5: Solve for x
    x = 28,423,501.59/6,415.16
  6. Step 6: Final answer
    x = 4,430.68

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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.