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Finding the Fourth Proportional to 9,478.58, 13,066.59 and 6,637.01

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Solution

The fourth proportional to 9,478.58, 13,066.59 and 6,637.01 is: 9,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.58 : 13,066.59 = 6,637.01 : x
  2. Step 2: Convert to fraction form
    9,478.58/13,066.59 = 6,637.01/x
  3. Step 3: Cross multiply
    9,478.58x = 13,066.59 × 6,637.01
  4. Step 4: Simplify right side
    9,478.58x = 86,723,023.16
  5. Step 5: Solve for x
    x = 86,723,023.16/9,478.58
  6. Step 6: Final answer
    x = 9,149.37

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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.