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Finding the Fourth Proportional to 10,383.58, 14,329.06 and 9,547.66

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Solution

The fourth proportional to 10,383.58, 14,329.06 and 9,547.66 is: 13,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.58 : 14,329.06 = 9,547.66 : x
  2. Step 2: Convert to fraction form
    10,383.58/14,329.06 = 9,547.66/x
  3. Step 3: Cross multiply
    10,383.58x = 14,329.06 × 9,547.66
  4. Step 4: Simplify right side
    10,383.58x = 136,808,993.00
  5. Step 5: Solve for x
    x = 136,808,993.00/10,383.58
  6. Step 6: Final answer
    x = 13,175.51

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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.