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Finding the Fourth Proportional to 6,548.60, 9,036.98 and 3,564.40

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Solution

The fourth proportional to 6,548.60, 9,036.98 and 3,564.40 is: 4,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.60 : 9,036.98 = 3,564.40 : x
  2. Step 2: Convert to fraction form
    6,548.60/9,036.98 = 3,564.40/x
  3. Step 3: Cross multiply
    6,548.60x = 9,036.98 × 3,564.40
  4. Step 4: Simplify right side
    6,548.60x = 32,211,411.51
  5. Step 5: Solve for x
    x = 32,211,411.51/6,548.60
  6. Step 6: Final answer
    x = 4,918.82

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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.