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Finding the Fourth Proportional to 9,027.50, 12,459.40 and 6,547.82

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Solution

The fourth proportional to 9,027.50, 12,459.40 and 6,547.82 is: 9,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.50 : 12,459.40 = 6,547.82 : x
  2. Step 2: Convert to fraction form
    9,027.50/12,459.40 = 6,547.82/x
  3. Step 3: Cross multiply
    9,027.50x = 12,459.40 × 6,547.82
  4. Step 4: Simplify right side
    9,027.50x = 81,581,908.51
  5. Step 5: Solve for x
    x = 81,581,908.51/9,027.50
  6. Step 6: Final answer
    x = 9,037.04

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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.