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Finding the Fourth Proportional to 9,547.05, 14,331.05 and 7,585.29

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Solution

The fourth proportional to 9,547.05, 14,331.05 and 7,585.29 is: 11,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.05 : 14,331.05 = 7,585.29 : x
  2. Step 2: Convert to fraction form
    9,547.05/14,331.05 = 7,585.29/x
  3. Step 3: Cross multiply
    9,547.05x = 14,331.05 × 7,585.29
  4. Step 4: Simplify right side
    9,547.05x = 108,705,189.22
  5. Step 5: Solve for x
    x = 108,705,189.22/9,547.05
  6. Step 6: Final answer
    x = 11,386.26

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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.