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Finding the Fourth Proportional to 9,710.32, 14,565.36 and 6,849.02

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Solution

The fourth proportional to 9,710.32, 14,565.36 and 6,849.02 is: 10,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.32 : 14,565.36 = 6,849.02 : x
  2. Step 2: Convert to fraction form
    9,710.32/14,565.36 = 6,849.02/x
  3. Step 3: Cross multiply
    9,710.32x = 14,565.36 × 6,849.02
  4. Step 4: Simplify right side
    9,710.32x = 99,758,441.95
  5. Step 5: Solve for x
    x = 99,758,441.95/9,710.32
  6. Step 6: Final answer
    x = 10,273.45

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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.