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Finding the Fourth Proportional to 9,547.56, 14,322.93 and 4,001.33

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Solution

The fourth proportional to 9,547.56, 14,322.93 and 4,001.33 is: 6,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.56 : 14,322.93 = 4,001.33 : x
  2. Step 2: Convert to fraction form
    9,547.56/14,322.93 = 4,001.33/x
  3. Step 3: Cross multiply
    9,547.56x = 14,322.93 × 4,001.33
  4. Step 4: Simplify right side
    9,547.56x = 57,310,705.38
  5. Step 5: Solve for x
    x = 57,310,705.38/9,547.56
  6. Step 6: Final answer
    x = 6,002.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.