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Finding the Fourth Proportional to 7,047.37, 9,714.04 and 4,777.98

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Solution

The fourth proportional to 7,047.37, 9,714.04 and 4,777.98 is: 6,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.37 : 9,714.04 = 4,777.98 : x
  2. Step 2: Convert to fraction form
    7,047.37/9,714.04 = 4,777.98/x
  3. Step 3: Cross multiply
    7,047.37x = 9,714.04 × 4,777.98
  4. Step 4: Simplify right side
    7,047.37x = 46,413,440.47
  5. Step 5: Solve for x
    x = 46,413,440.47/7,047.37
  6. Step 6: Final answer
    x = 6,585.92

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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.