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Finding the Fourth Proportional to 9,875.16, 14,804.64 and 6,580.08

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Solution

The fourth proportional to 9,875.16, 14,804.64 and 6,580.08 is: 9,864.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.16 : 14,804.64 = 6,580.08 : x
  2. Step 2: Convert to fraction form
    9,875.16/14,804.64 = 6,580.08/x
  3. Step 3: Cross multiply
    9,875.16x = 14,804.64 × 6,580.08
  4. Step 4: Simplify right side
    9,875.16x = 97,415,715.57
  5. Step 5: Solve for x
    x = 97,415,715.57/9,875.16
  6. Step 6: Final answer
    x = 9,864.72

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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.