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Finding the Fourth Proportional to 6,590.16, 9,875.52 and 6,220.80

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Solution

The fourth proportional to 6,590.16, 9,875.52 and 6,220.80 is: 9,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.16 : 9,875.52 = 6,220.80 : x
  2. Step 2: Convert to fraction form
    6,590.16/9,875.52 = 6,220.80/x
  3. Step 3: Cross multiply
    6,590.16x = 9,875.52 × 6,220.80
  4. Step 4: Simplify right side
    6,590.16x = 61,433,634.82
  5. Step 5: Solve for x
    x = 61,433,634.82/6,590.16
  6. Step 6: Final answer
    x = 9,322.02

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