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Finding the Fourth Proportional to 9,547.50, 13,175.55 and 5,357.10

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Solution

The fourth proportional to 9,547.50, 13,175.55 and 5,357.10 is: 7,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.50 : 13,175.55 = 5,357.10 : x
  2. Step 2: Convert to fraction form
    9,547.50/13,175.55 = 5,357.10/x
  3. Step 3: Cross multiply
    9,547.50x = 13,175.55 × 5,357.10
  4. Step 4: Simplify right side
    9,547.50x = 70,582,738.91
  5. Step 5: Solve for x
    x = 70,582,738.91/9,547.50
  6. Step 6: Final answer
    x = 7,392.80

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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.