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Finding the Fourth Proportional to 9,601.96, 14,430.30 and 6,543.40

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Solution

The fourth proportional to 9,601.96, 14,430.30 and 6,543.40 is: 9,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.96 : 14,430.30 = 6,543.40 : x
  2. Step 2: Convert to fraction form
    9,601.96/14,430.30 = 6,543.40/x
  3. Step 3: Cross multiply
    9,601.96x = 14,430.30 × 6,543.40
  4. Step 4: Simplify right side
    9,601.96x = 94,423,225.02
  5. Step 5: Solve for x
    x = 94,423,225.02/9,601.96
  6. Step 6: Final answer
    x = 9,833.74

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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.