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Finding the Fourth Proportional to 6,585, 9,088.82 and 4,347.32

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Solution

The fourth proportional to 6,585, 9,088.82 and 4,347.32 is: 6,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585 : 9,088.82 = 4,347.32 : x
  2. Step 2: Convert to fraction form
    6,585/9,088.82 = 4,347.32/x
  3. Step 3: Cross multiply
    6,585x = 9,088.82 × 4,347.32
  4. Step 4: Simplify right side
    6,585x = 39,512,008.96
  5. Step 5: Solve for x
    x = 39,512,008.96/6,585
  6. Step 6: Final answer
    x = 6,000.31

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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.