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Finding the Fourth Proportional to 6,567.36, 9,779.52 and 6,494.64

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Solution

The fourth proportional to 6,567.36, 9,779.52 and 6,494.64 is: 9,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.36 : 9,779.52 = 6,494.64 : x
  2. Step 2: Convert to fraction form
    6,567.36/9,779.52 = 6,494.64/x
  3. Step 3: Cross multiply
    6,567.36x = 9,779.52 × 6,494.64
  4. Step 4: Simplify right side
    6,567.36x = 63,514,461.77
  5. Step 5: Solve for x
    x = 63,514,461.77/6,567.36
  6. Step 6: Final answer
    x = 9,671.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.