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Finding the Fourth Proportional to 6,588.04, 9,835.10 and 6,357.32

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Solution

The fourth proportional to 6,588.04, 9,835.10 and 6,357.32 is: 9,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.04 : 9,835.10 = 6,357.32 : x
  2. Step 2: Convert to fraction form
    6,588.04/9,835.10 = 6,357.32/x
  3. Step 3: Cross multiply
    6,588.04x = 9,835.10 × 6,357.32
  4. Step 4: Simplify right side
    6,588.04x = 62,524,877.93
  5. Step 5: Solve for x
    x = 62,524,877.93/6,588.04
  6. Step 6: Final answer
    x = 9,490.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.