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Finding the Fourth Proportional to 9,814.62, 13,547.66 and 5,835.72

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Solution

The fourth proportional to 9,814.62, 13,547.66 and 5,835.72 is: 8,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.62 : 13,547.66 = 5,835.72 : x
  2. Step 2: Convert to fraction form
    9,814.62/13,547.66 = 5,835.72/x
  3. Step 3: Cross multiply
    9,814.62x = 13,547.66 × 5,835.72
  4. Step 4: Simplify right side
    9,814.62x = 79,060,350.42
  5. Step 5: Solve for x
    x = 79,060,350.42/9,814.62
  6. Step 6: Final answer
    x = 8,055.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.