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Finding the Fourth Proportional to 6,417.20, 9,608.52 and 4,657.16

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Solution

The fourth proportional to 6,417.20, 9,608.52 and 4,657.16 is: 6,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.20 : 9,608.52 = 4,657.16 : x
  2. Step 2: Convert to fraction form
    6,417.20/9,608.52 = 4,657.16/x
  3. Step 3: Cross multiply
    6,417.20x = 9,608.52 × 4,657.16
  4. Step 4: Simplify right side
    6,417.20x = 44,748,415.00
  5. Step 5: Solve for x
    x = 44,748,415.00/6,417.20
  6. Step 6: Final answer
    x = 6,973.20

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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.