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Finding the Fourth Proportional to 9,693.06, 14,527.02 and 6,404.46

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Solution

The fourth proportional to 9,693.06, 14,527.02 and 6,404.46 is: 9,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.06 : 14,527.02 = 6,404.46 : x
  2. Step 2: Convert to fraction form
    9,693.06/14,527.02 = 6,404.46/x
  3. Step 3: Cross multiply
    9,693.06x = 14,527.02 × 6,404.46
  4. Step 4: Simplify right side
    9,693.06x = 93,037,718.51
  5. Step 5: Solve for x
    x = 93,037,718.51/9,693.06
  6. Step 6: Final answer
    x = 9,598.38

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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.