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Finding the Fourth Proportional to 6,740.64, 9,298.62 and 4,501.80

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Solution

The fourth proportional to 6,740.64, 9,298.62 and 4,501.80 is: 6,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.64 : 9,298.62 = 4,501.80 : x
  2. Step 2: Convert to fraction form
    6,740.64/9,298.62 = 4,501.80/x
  3. Step 3: Cross multiply
    6,740.64x = 9,298.62 × 4,501.80
  4. Step 4: Simplify right side
    6,740.64x = 41,860,527.52
  5. Step 5: Solve for x
    x = 41,860,527.52/6,740.64
  6. Step 6: Final answer
    x = 6,210.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.