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Finding the Fourth Proportional to 6,430.49, 9,641.07 and 4,345.28

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Solution

The fourth proportional to 6,430.49, 9,641.07 and 4,345.28 is: 6,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.49 : 9,641.07 = 4,345.28 : x
  2. Step 2: Convert to fraction form
    6,430.49/9,641.07 = 4,345.28/x
  3. Step 3: Cross multiply
    6,430.49x = 9,641.07 × 4,345.28
  4. Step 4: Simplify right side
    6,430.49x = 41,893,148.65
  5. Step 5: Solve for x
    x = 41,893,148.65/6,430.49
  6. Step 6: Final answer
    x = 6,514.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.