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Finding the Fourth Proportional to 9,368.64, 14,055.12 and 4,985.12

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Solution

The fourth proportional to 9,368.64, 14,055.12 and 4,985.12 is: 7,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.64 : 14,055.12 = 4,985.12 : x
  2. Step 2: Convert to fraction form
    9,368.64/14,055.12 = 4,985.12/x
  3. Step 3: Cross multiply
    9,368.64x = 14,055.12 × 4,985.12
  4. Step 4: Simplify right side
    9,368.64x = 70,066,459.81
  5. Step 5: Solve for x
    x = 70,066,459.81/9,368.64
  6. Step 6: Final answer
    x = 7,478.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.