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Finding the Fourth Proportional to 9,707.57, 14,539.47 and 6,798.86

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Solution

The fourth proportional to 9,707.57, 14,539.47 and 6,798.86 is: 10,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.57 : 14,539.47 = 6,798.86 : x
  2. Step 2: Convert to fraction form
    9,707.57/14,539.47 = 6,798.86/x
  3. Step 3: Cross multiply
    9,707.57x = 14,539.47 × 6,798.86
  4. Step 4: Simplify right side
    9,707.57x = 98,851,748.31
  5. Step 5: Solve for x
    x = 98,851,748.31/9,707.57
  6. Step 6: Final answer
    x = 10,182.96

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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.