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Finding the Fourth Proportional to 9,547.70, 13,175.87 and 5,298.48

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Solution

The fourth proportional to 9,547.70, 13,175.87 and 5,298.48 is: 7,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.70 : 13,175.87 = 5,298.48 : x
  2. Step 2: Convert to fraction form
    9,547.70/13,175.87 = 5,298.48/x
  3. Step 3: Cross multiply
    9,547.70x = 13,175.87 × 5,298.48
  4. Step 4: Simplify right side
    9,547.70x = 69,812,057.19
  5. Step 5: Solve for x
    x = 69,812,057.19/9,547.70
  6. Step 6: Final answer
    x = 7,311.93

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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.