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Finding the Fourth Proportional to 6,430.19, 9,641.03 and 4,232.25

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Solution

The fourth proportional to 6,430.19, 9,641.03 and 4,232.25 is: 6,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.19 : 9,641.03 = 4,232.25 : x
  2. Step 2: Convert to fraction form
    6,430.19/9,641.03 = 4,232.25/x
  3. Step 3: Cross multiply
    6,430.19x = 9,641.03 × 4,232.25
  4. Step 4: Simplify right side
    6,430.19x = 40,803,228.06
  5. Step 5: Solve for x
    x = 40,803,228.06/6,430.19
  6. Step 6: Final answer
    x = 6,345.58

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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.