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Finding the Fourth Proportional to 9,646.39, 14,459.71 and 6,526.72

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Solution

The fourth proportional to 9,646.39, 14,459.71 and 6,526.72 is: 9,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.39 : 14,459.71 = 6,526.72 : x
  2. Step 2: Convert to fraction form
    9,646.39/14,459.71 = 6,526.72/x
  3. Step 3: Cross multiply
    9,646.39x = 14,459.71 × 6,526.72
  4. Step 4: Simplify right side
    9,646.39x = 94,374,530.48
  5. Step 5: Solve for x
    x = 94,374,530.48/9,646.39
  6. Step 6: Final answer
    x = 9,783.41

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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.