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Finding the Fourth Proportional to 6,526.02, 9,780.93 and 3,714.72

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Solution

The fourth proportional to 6,526.02, 9,780.93 and 3,714.72 is: 5,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.02 : 9,780.93 = 3,714.72 : x
  2. Step 2: Convert to fraction form
    6,526.02/9,780.93 = 3,714.72/x
  3. Step 3: Cross multiply
    6,526.02x = 9,780.93 × 3,714.72
  4. Step 4: Simplify right side
    6,526.02x = 36,333,416.29
  5. Step 5: Solve for x
    x = 36,333,416.29/6,526.02
  6. Step 6: Final answer
    x = 5,567.47

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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.