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Finding the Fourth Proportional to 9,543.63, 14,316.81 and 2,970.48

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Solution

The fourth proportional to 9,543.63, 14,316.81 and 2,970.48 is: 4,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.63 : 14,316.81 = 2,970.48 : x
  2. Step 2: Convert to fraction form
    9,543.63/14,316.81 = 2,970.48/x
  3. Step 3: Cross multiply
    9,543.63x = 14,316.81 × 2,970.48
  4. Step 4: Simplify right side
    9,543.63x = 42,527,797.77
  5. Step 5: Solve for x
    x = 42,527,797.77/9,543.63
  6. Step 6: Final answer
    x = 4,456.14

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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.