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Finding the Fourth Proportional to 9,641.63, 14,458.68 and 4,095.19

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Solution

The fourth proportional to 9,641.63, 14,458.68 and 4,095.19 is: 6,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.63 : 14,458.68 = 4,095.19 : x
  2. Step 2: Convert to fraction form
    9,641.63/14,458.68 = 4,095.19/x
  3. Step 3: Cross multiply
    9,641.63x = 14,458.68 × 4,095.19
  4. Step 4: Simplify right side
    9,641.63x = 59,211,075.18
  5. Step 5: Solve for x
    x = 59,211,075.18/9,641.63
  6. Step 6: Final answer
    x = 6,141.19

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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.