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Finding the Fourth Proportional to 9,646.89, 14,460.47 and 6,527.22

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Solution

The fourth proportional to 9,646.89, 14,460.47 and 6,527.22 is: 9,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.89 : 14,460.47 = 6,527.22 : x
  2. Step 2: Convert to fraction form
    9,646.89/14,460.47 = 6,527.22/x
  3. Step 3: Cross multiply
    9,646.89x = 14,460.47 × 6,527.22
  4. Step 4: Simplify right side
    9,646.89x = 94,386,636.36
  5. Step 5: Solve for x
    x = 94,386,636.36/9,646.89
  6. Step 6: Final answer
    x = 9,784.16

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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.