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Finding the Fourth Proportional to 9,833.40, 13,547.02 and 6,844.10

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Solution

The fourth proportional to 9,833.40, 13,547.02 and 6,844.10 is: 9,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.40 : 13,547.02 = 6,844.10 : x
  2. Step 2: Convert to fraction form
    9,833.40/13,547.02 = 6,844.10/x
  3. Step 3: Cross multiply
    9,833.40x = 13,547.02 × 6,844.10
  4. Step 4: Simplify right side
    9,833.40x = 92,717,159.58
  5. Step 5: Solve for x
    x = 92,717,159.58/9,833.40
  6. Step 6: Final answer
    x = 9,428.80

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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.