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Finding the Fourth Proportional to 9,817.74, 13,547.42 and 5,838.32

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Solution

The fourth proportional to 9,817.74, 13,547.42 and 5,838.32 is: 8,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.74 : 13,547.42 = 5,838.32 : x
  2. Step 2: Convert to fraction form
    9,817.74/13,547.42 = 5,838.32/x
  3. Step 3: Cross multiply
    9,817.74x = 13,547.42 × 5,838.32
  4. Step 4: Simplify right side
    9,817.74x = 79,094,173.13
  5. Step 5: Solve for x
    x = 79,094,173.13/9,817.74
  6. Step 6: Final answer
    x = 8,056.25

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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.