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Finding the Fourth Proportional to 9,814.55, 13,547.61 and 5,835.66

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Solution

The fourth proportional to 9,814.55, 13,547.61 and 5,835.66 is: 8,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.55 : 13,547.61 = 5,835.66 : x
  2. Step 2: Convert to fraction form
    9,814.55/13,547.61 = 5,835.66/x
  3. Step 3: Cross multiply
    9,814.55x = 13,547.61 × 5,835.66
  4. Step 4: Simplify right side
    9,814.55x = 79,059,178.56
  5. Step 5: Solve for x
    x = 79,059,178.56/9,814.55
  6. Step 6: Final answer
    x = 8,055.30

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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.