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Finding the Fourth Proportional to 6,564.34, 9,051.43 and 5,365.60

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Solution

The fourth proportional to 6,564.34, 9,051.43 and 5,365.60 is: 7,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.34 : 9,051.43 = 5,365.60 : x
  2. Step 2: Convert to fraction form
    6,564.34/9,051.43 = 5,365.60/x
  3. Step 3: Cross multiply
    6,564.34x = 9,051.43 × 5,365.60
  4. Step 4: Simplify right side
    6,564.34x = 48,566,352.81
  5. Step 5: Solve for x
    x = 48,566,352.81/6,564.34
  6. Step 6: Final answer
    x = 7,398.51

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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.