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Finding the Fourth Proportional to 9,037.12, 13,547.04 and 5,740

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Solution

The fourth proportional to 9,037.12, 13,547.04 and 5,740 is: 8,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.12 : 13,547.04 = 5,740 : x
  2. Step 2: Convert to fraction form
    9,037.12/13,547.04 = 5,740/x
  3. Step 3: Cross multiply
    9,037.12x = 13,547.04 × 5,740
  4. Step 4: Simplify right side
    9,037.12x = 77,760,009.60
  5. Step 5: Solve for x
    x = 77,760,009.60/9,037.12
  6. Step 6: Final answer
    x = 8,604.51

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Why These Related Problems?

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