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Finding the Fourth Proportional to 6,595.68, 9,094.32 and 5,265.12

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Solution

The fourth proportional to 6,595.68, 9,094.32 and 5,265.12 is: 7,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.68 : 9,094.32 = 5,265.12 : x
  2. Step 2: Convert to fraction form
    6,595.68/9,094.32 = 5,265.12/x
  3. Step 3: Cross multiply
    6,595.68x = 9,094.32 × 5,265.12
  4. Step 4: Simplify right side
    6,595.68x = 47,882,686.12
  5. Step 5: Solve for x
    x = 47,882,686.12/6,595.68
  6. Step 6: Final answer
    x = 7,259.70

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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.