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Finding the Fourth Proportional to 6,547.63, 9,037.43 and 4,158.75

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Solution

The fourth proportional to 6,547.63, 9,037.43 and 4,158.75 is: 5,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.63 : 9,037.43 = 4,158.75 : x
  2. Step 2: Convert to fraction form
    6,547.63/9,037.43 = 4,158.75/x
  3. Step 3: Cross multiply
    6,547.63x = 9,037.43 × 4,158.75
  4. Step 4: Simplify right side
    6,547.63x = 37,584,412.01
  5. Step 5: Solve for x
    x = 37,584,412.01/6,547.63
  6. Step 6: Final answer
    x = 5,740.16

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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.