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Finding the Fourth Proportional to 9,814.84, 13,547.99 and 5,835.94

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Solution

The fourth proportional to 9,814.84, 13,547.99 and 5,835.94 is: 8,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.84 : 13,547.99 = 5,835.94 : x
  2. Step 2: Convert to fraction form
    9,814.84/13,547.99 = 5,835.94/x
  3. Step 3: Cross multiply
    9,814.84x = 13,547.99 × 5,835.94
  4. Step 4: Simplify right side
    9,814.84x = 79,065,237.48
  5. Step 5: Solve for x
    x = 79,065,237.48/9,814.84
  6. Step 6: Final answer
    x = 8,055.68

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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.